Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350bk |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
-5336764525750000 = -1 · 24 · 56 · 79 · 232 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-262788,-51991808] |
[a1,a2,a3,a4,a6] |
Generators |
[104870:2177408:125] |
Generators of the group modulo torsion |
j |
-3183010111/8464 |
j-invariant |
L |
5.7469041598754 |
L(r)(E,1)/r! |
Ω |
0.10541417007587 |
Real period |
R |
6.8146722538557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2254d1 56350bj1 |
Quadratic twists by: 5 -7 |