Atkin-Lehner |
2- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
50024d |
Isogeny class |
Conductor |
50024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
408576 |
Modular degree for the optimal curve |
Δ |
1305795634793728 = 28 · 1310 · 37 |
Discriminant |
Eigenvalues |
2- -1 2 3 3 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-691097,221358253] |
[a1,a2,a3,a4,a6] |
Generators |
[3738:3887:8] |
Generators of the group modulo torsion |
j |
29542094605312/1056757 |
j-invariant |
L |
6.4122088517621 |
L(r)(E,1)/r! |
Ω |
0.4518570352238 |
Real period |
R |
3.5476978069919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100048d1 3848a1 |
Quadratic twists by: -4 13 |