Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
32634bs |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-18632854318176 = -1 · 25 · 311 · 74 · 372 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-235724,-43992273] |
[a1,a2,a3,a4,a6] |
j |
-827587081151257/10645344 |
j-invariant |
L |
2.1666981520783 |
L(r)(E,1)/r! |
Ω |
0.10833490760416 |
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 |
10878c1 32634ch1 |
Quadratic twists by: -3 -7 |