Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20832be |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
244109376 = 26 · 34 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1302,17640] |
[a1,a2,a3,a4,a6] |
j |
3816894953152/3814209 |
j-invariant |
L |
3.4951102548287 |
L(r)(E,1)/r! |
Ω |
1.7475551274143 |
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 |
20832x1 41664cv2 62496q1 |
Quadratic twists by: -4 8 -3 |