Atkin-Lehner |
2- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
50024c |
Isogeny class |
Conductor |
50024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
45719534848 = 28 · 136 · 37 |
Discriminant |
Eigenvalues |
2- -1 2 -1 -1 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1577,22333] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:169:1] |
Generators of the group modulo torsion |
j |
351232/37 |
j-invariant |
L |
5.2668190114725 |
L(r)(E,1)/r! |
Ω |
1.101511388781 |
Real period |
R |
1.1953619057246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100048c1 296a1 |
Quadratic twists by: -4 13 |