Atkin-Lehner |
2- 5+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
91300b |
Isogeny class |
Conductor |
91300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-918997268750000 = -1 · 24 · 58 · 116 · 83 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6200,-1446375] |
[a1,a2,a3,a4,a6] |
Generators |
[326040:3638025:2197] |
Generators of the group modulo torsion |
j |
105428680704/3675989075 |
j-invariant |
L |
6.1054881480027 |
L(r)(E,1)/r! |
Ω |
0.23939181297571 |
Real period |
R |
8.5013881176161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008425 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18260b1 |
Quadratic twists by: 5 |