Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800bv |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
352800000000 = 211 · 32 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3208,64912] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:300:1] |
Generators of the group modulo torsion |
j |
93170/9 |
j-invariant |
L |
5.0835512431728 |
L(r)(E,1)/r! |
Ω |
0.93136799441709 |
Real period |
R |
0.22742314144816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cc1 58800cu1 58800dw1 |
Quadratic twists by: -4 5 -7 |