Atkin-Lehner |
2- 3- 7- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113274bu |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
19335730434048 = 212 · 37 · 74 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9914,-313095] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:63:1] |
Generators of the group modulo torsion |
j |
147809333462617/26523635712 |
j-invariant |
L |
13.529537281691 |
L(r)(E,1)/r! |
Ω |
0.4843532644638 |
Real period |
R |
2.3277667792327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001516 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37758e1 |
Quadratic twists by: -3 |