Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120h |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-24140400558080 = -1 · 229 · 5 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 6 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2559,-231935] |
[a1,a2,a3,a4,a6] |
Generators |
[96:943:1] |
Generators of the group modulo torsion |
j |
7066834559/92088320 |
j-invariant |
L |
4.4622881938426 |
L(r)(E,1)/r! |
Ω |
0.33031696298608 |
Real period |
R |
3.37727750415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120bq1 3910m1 |
Quadratic twists by: -4 8 |