Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275w |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-341113623046875 = -1 · 36 · 511 · 7 · 372 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -1 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15825,-1173344] |
[a1,a2,a3,a4,a6] |
Generators |
[155:312:1] |
Generators of the group modulo torsion |
j |
-38477541376/29946875 |
j-invariant |
L |
3.0317048904589 |
L(r)(E,1)/r! |
Ω |
0.20592470412004 |
Real period |
R |
1.8402994089232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6475d1 11655h1 |
Quadratic twists by: -3 5 |