Atkin-Lehner |
7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19747d |
Isogeny class |
Conductor |
19747 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-2323214803 = -1 · 78 · 13 · 31 |
Discriminant |
Eigenvalues |
2 0 -2 7- -3 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,49,2315] |
[a1,a2,a3,a4,a6] |
j |
110592/19747 |
j-invariant |
L |
2.2462041237934 |
L(r)(E,1)/r! |
Ω |
1.1231020618967 |
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 |
2821a1 |
Quadratic twists by: -7 |