Atkin-Lehner |
2- 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50232q |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
4822272 = 28 · 32 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -1 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-369,2853] |
[a1,a2,a3,a4,a6] |
Generators |
[12:3:1] [3:42:1] |
Generators of the group modulo torsion |
j |
21764027392/18837 |
j-invariant |
L |
7.3783547060139 |
L(r)(E,1)/r! |
Ω |
2.4196431460442 |
Real period |
R |
0.76233914059575 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100464r1 |
Quadratic twists by: -4 |