Atkin-Lehner |
2- 3+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56760m |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
279301770000 = 24 · 310 · 54 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11+ 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188116,31466905] |
[a1,a2,a3,a4,a6] |
Generators |
[-252:7925:1] [205:1215:1] |
Generators of the group modulo torsion |
j |
46013285540300940544/17456360625 |
j-invariant |
L |
7.6742667351738 |
L(r)(E,1)/r! |
Ω |
0.7914482235478 |
Real period |
R |
1.2120607682925 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113520q1 |
Quadratic twists by: -4 |