Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11638h |
Isogeny class |
Conductor |
11638 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1507968 |
Modular degree for the optimal curve |
Δ |
530803325686723496 = 23 · 117 · 237 |
Discriminant |
Eigenvalues |
2+ 0 3 -3 11- 5 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-153706868,-733441146808] |
[a1,a2,a3,a4,a6] |
Generators |
[-15725801:7871310:2197] |
Generators of the group modulo torsion |
j |
2712917065234165678953/3585639464 |
j-invariant |
L |
3.738061557202 |
L(r)(E,1)/r! |
Ω |
0.042877182158182 |
Real period |
R |
6.2271908624492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93104h1 104742bw1 128018s1 506b1 |
Quadratic twists by: -4 -3 -11 -23 |