Atkin-Lehner |
7- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41699b |
Isogeny class |
Conductor |
41699 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
175616 |
Modular degree for the optimal curve |
Δ |
1270614023609 = 79 · 23 · 372 |
Discriminant |
Eigenvalues |
1 2 -2 7- 0 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-224886,-41141785] |
[a1,a2,a3,a4,a6] |
j |
31169628700111/31487 |
j-invariant |
L |
1.973109710864 |
L(r)(E,1)/r! |
Ω |
0.21923441233002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41699c1 |
Quadratic twists by: -7 |