Atkin-Lehner |
3- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50901j |
Isogeny class |
Conductor |
50901 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
193969273491261 = 35 · 198 · 47 |
Discriminant |
Eigenvalues |
2 3- -1 1 1 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-453536,-117711073] |
[a1,a2,a3,a4,a6] |
Generators |
[-1071322:10067:2744] |
Generators of the group modulo torsion |
j |
219299862974464/4122981 |
j-invariant |
L |
14.645851079659 |
L(r)(E,1)/r! |
Ω |
0.18397000638495 |
Real period |
R |
7.9609993864911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2679a1 |
Quadratic twists by: -19 |