Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
32634bp |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-59709687311232 = -1 · 27 · 37 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 3 -2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4180,-357969] |
[a1,a2,a3,a4,a6] |
j |
1922375/14208 |
j-invariant |
L |
4.3488893207465 |
L(r)(E,1)/r! |
Ω |
0.31063495148182 |
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 |
10878b1 32634ca1 |
Quadratic twists by: -3 -7 |