Atkin-Lehner |
2- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850cv |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
649250000 = 24 · 56 · 72 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15513,-744983] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:37:1] [162:919:1] |
Generators of the group modulo torsion |
j |
539258169625/848 |
j-invariant |
L |
12.538425650507 |
L(r)(E,1)/r! |
Ω |
0.42778495022749 |
Real period |
R |
3.6637642475106 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194g1 129850bq1 |
Quadratic twists by: 5 -7 |