Atkin-Lehner |
2- 3+ 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350cf |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
218240 |
Modular degree for the optimal curve |
Δ |
7068000000000 = 211 · 3 · 59 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 5 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12388,-520219] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:157:1] |
Generators of the group modulo torsion |
j |
107646386093/3618816 |
j-invariant |
L |
10.299883980671 |
L(r)(E,1)/r! |
Ω |
0.45346558331157 |
Real period |
R |
1.0324411854882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88350bl1 |
Quadratic twists by: 5 |