Atkin-Lehner |
2- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110cn |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
1320 |
Product of Tamagawa factors cp |
deg |
11996160 |
Modular degree for the optimal curve |
Δ |
1.871829127168E+22 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 11- 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36982140,86297725405] |
[a1,a2,a3,a4,a6] |
Generators |
[3053:41593:1] |
Generators of the group modulo torsion |
j |
382057814665748144107921/1278484480000000000 |
j-invariant |
L |
8.4358434615127 |
L(r)(E,1)/r! |
Ω |
0.12284495168869 |
Real period |
R |
0.052023224476179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110110bh1 |
Quadratic twists by: -11 |