Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510dk |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
4831256040131727360 = 212 · 312 · 5 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-126361283,546756855747] |
[a1,a2,a3,a4,a6] |
Generators |
[1787:570642:1] |
Generators of the group modulo torsion |
j |
2601656892010848045529/56330588160 |
j-invariant |
L |
8.5864117439656 |
L(r)(E,1)/r! |
Ω |
0.17598376346823 |
Real period |
R |
2.032955478093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170m1 6930bl1 |
Quadratic twists by: -3 -7 |