Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41760a |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
8828481600 = 26 · 38 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2613,-51212] |
[a1,a2,a3,a4,a6] |
j |
42289683904/189225 |
j-invariant |
L |
1.3358620873608 |
L(r)(E,1)/r! |
Ω |
0.66793104371021 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41760u1 83520cv2 13920bg1 |
Quadratic twists by: -4 8 -3 |