Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968cl |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
-3.4783804922594E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 5 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-181944,-897815664] |
[a1,a2,a3,a4,a6] |
j |
-4741632/2476099 |
j-invariant |
L |
0.61305444478897 |
L(r)(E,1)/r! |
Ω |
0.076631757016928 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968ck1 11552j1 5472o1 |
Quadratic twists by: -4 -3 -19 |