Atkin-Lehner |
3+ 5- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35685b |
Isogeny class |
Conductor |
35685 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-171460679715 = -1 · 39 · 5 · 134 · 61 |
Discriminant |
Eigenvalues |
2 3+ 5- -5 4 13- 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1323,7337] |
[a1,a2,a3,a4,a6] |
j |
13011038208/8711105 |
j-invariant |
L |
5.1129530727609 |
L(r)(E,1)/r! |
Ω |
0.63911913409592 |
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 |
35685a1 |
Quadratic twists by: -3 |