Atkin-Lehner |
2+ 3- 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010v |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
13332480 |
Modular degree for the optimal curve |
Δ |
4.270923470736E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69855534,-224486400812] |
[a1,a2,a3,a4,a6] |
Generators |
[-328392083:-727465571:68921] |
Generators of the group modulo torsion |
j |
51712869614038428466446049/58586055840000000000 |
j-invariant |
L |
5.8989942477296 |
L(r)(E,1)/r! |
Ω |
0.052225053357402 |
Real period |
R |
11.295334074792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20670v1 |
Quadratic twists by: -3 |