Atkin-Lehner |
2+ 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
56240h |
Isogeny class |
Conductor |
56240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
117028691200 = 28 · 52 · 192 · 373 |
Discriminant |
Eigenvalues |
2+ -3 5- -3 -5 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63892,6216076] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:3515:1] [137:-185:1] |
Generators of the group modulo torsion |
j |
112673865986620416/457143325 |
j-invariant |
L |
5.5159093405921 |
L(r)(E,1)/r! |
Ω |
0.92347981339381 |
Real period |
R |
0.497746788884 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28120g1 |
Quadratic twists by: -4 |