Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
32634bq |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-8396674778142 = -1 · 2 · 39 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 3 5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4180,-93859] |
[a1,a2,a3,a4,a6] |
j |
1922375/1998 |
j-invariant |
L |
4.7865539627512 |
L(r)(E,1)/r! |
Ω |
0.39887949689609 |
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 |
10878m1 32634cb1 |
Quadratic twists by: -3 -7 |