Atkin-Lehner |
2- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
65702r |
Isogeny class |
Conductor |
65702 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-1.260818938042E+24 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ -5 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10687337,52320535983] |
[a1,a2,a3,a4,a6] |
Generators |
[-2807:15482:1] [651:-244362:1] |
Generators of the group modulo torsion |
j |
2869529254509772791/26799773141499904 |
j-invariant |
L |
13.088448407399 |
L(r)(E,1)/r! |
Ω |
0.06317368529143 |
Real period |
R |
0.46245974868996 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3458a1 |
Quadratic twists by: -19 |