Atkin-Lehner |
5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
96775h |
Isogeny class |
Conductor |
96775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
249057418203125 = 57 · 79 · 79 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- -5 -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-57575,5262906] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:3012:1] [-910:25721:8] |
Generators of the group modulo torsion |
j |
11481993216/135485 |
j-invariant |
L |
5.1228443778446 |
L(r)(E,1)/r! |
Ω |
0.55658284284638 |
Real period |
R |
0.57525627619749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19355d1 13825b1 |
Quadratic twists by: 5 -7 |