Atkin-Lehner |
2- 3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
93060j |
Isogeny class |
Conductor |
93060 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
4974987600 = 24 · 37 · 52 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,4313] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:45:1] [-14:99:1] |
Generators of the group modulo torsion |
j |
1927561216/426525 |
j-invariant |
L |
9.1605914372388 |
L(r)(E,1)/r! |
Ω |
1.2886603208492 |
Real period |
R |
0.59238467068029 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31020i1 |
Quadratic twists by: -3 |