Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800h |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
1936530399283200 = 211 · 38 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-212088,-37464048] |
[a1,a2,a3,a4,a6] |
Generators |
[768:15876:1] |
Generators of the group modulo torsion |
j |
3574536770/6561 |
j-invariant |
L |
4.9975390628012 |
L(r)(E,1)/r! |
Ω |
0.22249396930089 |
Real period |
R |
0.93589410506804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400bf1 58800ea1 58800de1 |
Quadratic twists by: -4 5 -7 |