Atkin-Lehner |
7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91091g |
Isogeny class |
Conductor |
91091 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8128512 |
Modular degree for the optimal curve |
Δ |
-6259061142557674451 = -1 · 78 · 113 · 138 |
Discriminant |
Eigenvalues |
2 3 -3 7- 11+ 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1647919,-823087925] |
[a1,a2,a3,a4,a6] |
j |
-871531204608/11022011 |
j-invariant |
L |
6.6574611875818 |
L(r)(E,1)/r! |
Ω |
0.066574613917003 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13013m1 7007d1 |
Quadratic twists by: -7 13 |