Atkin-Lehner |
7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
69797c |
Isogeny class |
Conductor |
69797 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-258399836221891 = -1 · 7 · 139 · 592 |
Discriminant |
Eigenvalues |
2 -2 1 7- 2 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16280,1106967] |
[a1,a2,a3,a4,a6] |
Generators |
[2762:48499:8] |
Generators of the group modulo torsion |
j |
-98867482624/53534299 |
j-invariant |
L |
9.7954431558628 |
L(r)(E,1)/r! |
Ω |
0.51373915507094 |
Real period |
R |
4.7667396281701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5369b1 |
Quadratic twists by: 13 |