Atkin-Lehner |
7- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
8897a |
Isogeny class |
Conductor |
8897 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1696 |
Modular degree for the optimal curve |
Δ |
1930649 = 72 · 312 · 41 |
Discriminant |
Eigenvalues |
1 2 -2 7- -6 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31,0] |
[a1,a2,a3,a4,a6] |
j |
3463512697/1930649 |
j-invariant |
L |
2.2757027549085 |
L(r)(E,1)/r! |
Ω |
2.2757027549085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80073g1 62279b1 |
Quadratic twists by: -3 -7 |