Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
53016i |
Isogeny class |
Conductor |
53016 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5161728 |
Modular degree for the optimal curve |
Δ |
-7.7747982304131E+22 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 0 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46478096,122711999052] |
[a1,a2,a3,a4,a6] |
Generators |
[3872572600736135473428146982123855:36580695511780853699548740850340622:1038813700401862462325746172375] |
Generators of the group modulo torsion |
j |
-227696257058/1594323 |
j-invariant |
L |
5.8890877401648 |
L(r)(E,1)/r! |
Ω |
0.1092298826352 |
Real period |
R |
53.914621146602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106032k1 53016h1 |
Quadratic twists by: -4 -47 |