Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763a |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7805952 |
Modular degree for the optimal curve |
Δ |
-3.9186537413182E+24 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 2 3 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,8467527,94765394891] |
[a1,a2,a3,a4,a6] |
Generators |
[-4596385971713552732190919745:116815981249565721767317075378:1218821607588320909050879] |
Generators of the group modulo torsion |
j |
1605632000/93710763 |
j-invariant |
L |
5.1006018720075 |
L(r)(E,1)/r! |
Ω |
0.059659911286898 |
Real period |
R |
42.747313581135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77763u1 3381d1 |
Quadratic twists by: -7 -23 |