Atkin-Lehner |
2- 3- 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
62730z |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
30486780 = 22 · 37 · 5 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-563,5271] |
[a1,a2,a3,a4,a6] |
Generators |
[11:12:1] |
Generators of the group modulo torsion |
j |
27027009001/41820 |
j-invariant |
L |
9.0988969795578 |
L(r)(E,1)/r! |
Ω |
2.0872697733932 |
Real period |
R |
0.5449042270037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20910c1 |
Quadratic twists by: -3 |