Atkin-Lehner |
2- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38266j |
Isogeny class |
Conductor |
38266 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-79789814176 = -1 · 25 · 196 · 53 |
Discriminant |
Eigenvalues |
2- -2 1 -2 5 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9935,380569] |
[a1,a2,a3,a4,a6] |
Generators |
[106:669:1] |
Generators of the group modulo torsion |
j |
-2305199161/1696 |
j-invariant |
L |
7.0346831999141 |
L(r)(E,1)/r! |
Ω |
1.0748152462363 |
Real period |
R |
0.65450162012017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106d1 |
Quadratic twists by: -19 |