Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
125248be |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
20213760 |
Modular degree for the optimal curve |
Δ |
4.3463153613156E+25 |
Discriminant |
Eigenvalues |
2- 1 0 1 4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-321702433,-2198243246753] |
[a1,a2,a3,a4,a6] |
Generators |
[-5521967754:2659111855:493039] |
Generators of the group modulo torsion |
j |
14045811244682967594015625/165798773243544993232 |
j-invariant |
L |
8.8133553485193 |
L(r)(E,1)/r! |
Ω |
0.03567351315878 |
Real period |
R |
17.646856905714 |
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 |
125248i1 31312l1 |
Quadratic twists by: -4 8 |