Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536t |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-92590581381410816 = -1 · 212 · 113 · 198 |
Discriminant |
Eigenvalues |
2- 1 -3 4 11+ -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-157877,28184099] |
[a1,a2,a3,a4,a6] |
Generators |
[-332534:69340519:12167] |
Generators of the group modulo torsion |
j |
-2258403328/480491 |
j-invariant |
L |
6.1207314438742 |
L(r)(E,1)/r! |
Ω |
0.32396860768025 |
Real period |
R |
9.4464884847036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3971a1 3344e1 |
Quadratic twists by: -4 -19 |