Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400bs |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
2583879428025000000 = 26 · 316 · 58 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4465425,3631147000] |
[a1,a2,a3,a4,a6] |
Generators |
[360:45500:1] |
Generators of the group modulo torsion |
j |
13507798771700416/3544416225 |
j-invariant |
L |
6.7452086859338 |
L(r)(E,1)/r! |
Ω |
0.25047560792924 |
Real period |
R |
3.3662003765937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50400ba1 100800nu2 16800bz1 10080bz1 |
Quadratic twists by: -4 8 -3 5 |