Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400dg |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
8037225000000 = 26 · 38 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15825,754000] |
[a1,a2,a3,a4,a6] |
Generators |
[44:378:1] |
Generators of the group modulo torsion |
j |
601211584/11025 |
j-invariant |
L |
5.1748454451042 |
L(r)(E,1)/r! |
Ω |
0.73876112512877 |
Real period |
R |
1.7511903608173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50400dx1 100800mf2 16800s1 10080s1 |
Quadratic twists by: -4 8 -3 5 |