Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8624b |
Isogeny class |
Conductor |
8624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1964275233536 = -1 · 28 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,67453] |
[a1,a2,a3,a4,a6] |
j |
-1024/65219 |
j-invariant |
L |
1.3240298412759 |
L(r)(E,1)/r! |
Ω |
0.66201492063795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4312g1 34496df1 77616cd1 1232a1 |
Quadratic twists by: -4 8 -3 -7 |