Atkin-Lehner |
7+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
9499a |
Isogeny class |
Conductor |
9499 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
8800 |
Modular degree for the optimal curve |
Δ |
-2658209659 = -1 · 7 · 235 · 59 |
Discriminant |
Eigenvalues |
-2 2 -1 7+ 3 5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-316,3398] |
[a1,a2,a3,a4,a6] |
Generators |
[12:34:1] |
Generators of the group modulo torsion |
j |
-3500729749504/2658209659 |
j-invariant |
L |
3.1912442012872 |
L(r)(E,1)/r! |
Ω |
1.3228509063405 |
Real period |
R |
0.48247979964959 |
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 |
85491f1 66493e1 |
Quadratic twists by: -3 -7 |