Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832bp |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-463440789504 = -1 · 214 · 32 · 75 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-616,-33484] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1626:1] |
Generators of the group modulo torsion |
j |
-6321363049/113144724 |
j-invariant |
L |
6.1998186041732 |
L(r)(E,1)/r! |
Ω |
0.40283039454676 |
Real period |
R |
3.8476606331456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854e1 |
Quadratic twists by: -4 |