Atkin-Lehner |
2- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
49984m |
Isogeny class |
Conductor |
49984 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
64504152064 = 214 · 11 · 713 |
Discriminant |
Eigenvalues |
2- 0 -3 -1 11+ 3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6064,181344] |
[a1,a2,a3,a4,a6] |
Generators |
[25:213:1] |
Generators of the group modulo torsion |
j |
1505155433472/3937021 |
j-invariant |
L |
3.1756066263095 |
L(r)(E,1)/r! |
Ω |
1.1068021501276 |
Real period |
R |
0.95639093397174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49984g1 12496b1 |
Quadratic twists by: -4 8 |