Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
4950bt |
Isogeny class |
Conductor |
4950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-6313519080000 = -1 · 26 · 315 · 54 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2920,-105253] |
[a1,a2,a3,a4,a6] |
Generators |
[75:691:1] |
Generators of the group modulo torsion |
j |
6045109175/13856832 |
j-invariant |
L |
5.4173317246538 |
L(r)(E,1)/r! |
Ω |
0.39023869711614 |
Real period |
R |
0.57842073803032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39600ej1 1650j1 4950n1 54450cx1 |
Quadratic twists by: -4 -3 5 -11 |