Atkin-Lehner |
7- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41699c |
Isogeny class |
Conductor |
41699 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
10800041 = 73 · 23 · 372 |
Discriminant |
Eigenvalues |
1 -2 2 7- 0 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4590,119291] |
[a1,a2,a3,a4,a6] |
j |
31169628700111/31487 |
j-invariant |
L |
1.9121576776044 |
L(r)(E,1)/r! |
Ω |
1.9121576776769 |
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 |
41699b1 |
Quadratic twists by: -7 |