Atkin-Lehner |
7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19747b |
Isogeny class |
Conductor |
19747 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
211412547073 = 79 · 132 · 31 |
Discriminant |
Eigenvalues |
1 0 0 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10642,424647] |
[a1,a2,a3,a4,a6] |
j |
1132995515625/1796977 |
j-invariant |
L |
0.99904502011137 |
L(r)(E,1)/r! |
Ω |
0.99904502011137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2821b1 |
Quadratic twists by: -7 |