Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56925bn |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
824320 |
Modular degree for the optimal curve |
Δ |
8666017400390625 = 313 · 59 · 112 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1183055,-494969178] |
[a1,a2,a3,a4,a6] |
Generators |
[1818013670:188147220543:166375] |
Generators of the group modulo torsion |
j |
128611737881333/6086421 |
j-invariant |
L |
4.710767999725 |
L(r)(E,1)/r! |
Ω |
0.14476033607924 |
Real period |
R |
16.270921052291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18975g1 56925bj1 |
Quadratic twists by: -3 5 |