Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800c |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
2656420300800 = 211 · 32 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 4 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6288,-173088] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:78:1] |
Generators of the group modulo torsion |
j |
93170/9 |
j-invariant |
L |
6.0317409737759 |
L(r)(E,1)/r! |
Ω |
0.53945172728558 |
Real period |
R |
2.7953108076523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400ds1 58800dw1 58800cu1 |
Quadratic twists by: -4 5 -7 |