Atkin-Lehner |
5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
58835f |
Isogeny class |
Conductor |
58835 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
475272 |
Modular degree for the optimal curve |
Δ |
-13694146767942515 = -1 · 5 · 73 · 418 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- 0 2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,22974,-5476029] |
[a1,a2,a3,a4,a6] |
Generators |
[1095207326:23949078471:2406104] |
Generators of the group modulo torsion |
j |
167936/1715 |
j-invariant |
L |
8.7279990385707 |
L(r)(E,1)/r! |
Ω |
0.19584718540659 |
Real period |
R |
14.855117814347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58835c1 |
Quadratic twists by: 41 |