Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646cy |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
18947929052146014 = 2 · 310 · 178 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 2 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1541147,736756013] |
[a1,a2,a3,a4,a6] |
Generators |
[47412:46489:64] |
Generators of the group modulo torsion |
j |
79604339689/3726 |
j-invariant |
L |
8.8456437555461 |
L(r)(E,1)/r! |
Ω |
0.36396577062894 |
Real period |
R |
2.0252920437263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882bc1 119646bx1 |
Quadratic twists by: -3 17 |