Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496k |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
212611392 = 26 · 37 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1137,-14740] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:2:1] [61:378:1] |
Generators of the group modulo torsion |
j |
3484156096/4557 |
j-invariant |
L |
7.9591697863592 |
L(r)(E,1)/r! |
Ω |
0.82223043480508 |
Real period |
R |
4.8399873377601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496cb1 124992bp2 20832v1 |
Quadratic twists by: -4 8 -3 |