Atkin-Lehner |
2- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
120328l |
Isogeny class |
Conductor |
120328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50304 |
Modular degree for the optimal curve |
Δ |
50056448 = 28 · 133 · 89 |
Discriminant |
Eigenvalues |
2- -2 2 -3 -6 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-537,4603] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-26:1] |
Generators of the group modulo torsion |
j |
30505984/89 |
j-invariant |
L |
4.0363381815389 |
L(r)(E,1)/r! |
Ω |
2.0113781042028 |
Real period |
R |
0.50168814694149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999156516 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120328f1 |
Quadratic twists by: 13 |