Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400dz |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
803538792000 = 26 · 315 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8266845,-9148666700] |
[a1,a2,a3,a4,a6] |
j |
10713357105862263488/137781 |
j-invariant |
L |
2.8491452110416 |
L(r)(E,1)/r! |
Ω |
0.089035787844657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400by1 100800gu2 16800y1 50400bv1 |
Quadratic twists by: -4 8 -3 5 |