Atkin-Lehner |
2- 3- 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32718z |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
31040 |
Modular degree for the optimal curve |
Δ |
-2985124884 = -1 · 22 · 3 · 75 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 4 -3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-749,-8379] |
[a1,a2,a3,a4,a6] |
j |
-46473502468177/2985124884 |
j-invariant |
L |
9.0921479965759 |
L(r)(E,1)/r! |
Ω |
0.4546073998287 |
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 |
98154bj1 |
Quadratic twists by: -3 |