Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102960f |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
5185812141441360 = 24 · 39 · 5 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-876922578,-9995165544393] |
[a1,a2,a3,a4,a6] |
Generators |
[8416292885582571325440069210905541283035075020544312080356079052096855070874196528524876680476861864978167101519028421810733937857272868825274142213708375322950739:-10181774578961483377612547359022975736947623625757591554150790235551053116570467838254568329191207012911990506647144459365375707032539904239881223083479850884807259952:5748261162120172000870444129581710836204541267829259707829114190795134028368774241209482160379866818169932795038747194851834167734025807456738267627961119941] |
Generators of the group modulo torsion |
j |
236807903430715307255728128/16466659495 |
j-invariant |
L |
7.0702089331607 |
L(r)(E,1)/r! |
Ω |
0.027743371775913 |
Real period |
R |
254.84317444425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51480e1 102960p1 |
Quadratic twists by: -4 -3 |