Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400de |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
45209390625000000 = 26 · 310 · 512 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1181325,-494093500] |
[a1,a2,a3,a4,a6] |
Generators |
[-2503891570:-287086275:3944312] |
Generators of the group modulo torsion |
j |
250094631024064/62015625 |
j-invariant |
L |
6.0658464548194 |
L(r)(E,1)/r! |
Ω |
0.14481503996496 |
Real period |
R |
10.471713532474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999987 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50400br1 100800ee2 16800f1 10080r1 |
Quadratic twists by: -4 8 -3 5 |