Atkin-Lehner |
2- 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53482i |
Isogeny class |
Conductor |
53482 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-283481903202784 = -1 · 25 · 119 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 2 -1 3 11+ 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4307421,3439121555] |
[a1,a2,a3,a4,a6] |
Generators |
[1197:-548:1] |
Generators of the group modulo torsion |
j |
-3748361902223219/120224 |
j-invariant |
L |
14.408356219153 |
L(r)(E,1)/r! |
Ω |
0.40301008118669 |
Real period |
R |
1.7875925307727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53482b1 |
Quadratic twists by: -11 |