Atkin-Lehner |
2+ 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9646a |
Isogeny class |
Conductor |
9646 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10416 |
Modular degree for the optimal curve |
Δ |
-240586557848 = -1 · 23 · 77 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 5 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1539,4176] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:217:8] |
Generators of the group modulo torsion |
j |
403501506392375/240586557848 |
j-invariant |
L |
3.7242863926203 |
L(r)(E,1)/r! |
Ω |
0.60421372899519 |
Real period |
R |
3.0819279783776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77168l1 86814be1 67522l1 125398r1 |
Quadratic twists by: -4 -3 -7 13 |