Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
35322be |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
3132000 |
Modular degree for the optimal curve |
Δ |
-4.3720416453079E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 1 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8692138,-1977382620] |
[a1,a2,a3,a4,a6] |
j |
145184269597247/87397761024 |
j-invariant |
L |
6.6324671733395 |
L(r)(E,1)/r! |
Ω |
0.066324671733425 |
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 |
105966s1 35322b1 |
Quadratic twists by: -3 29 |