Atkin-Lehner |
3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20535c |
Isogeny class |
Conductor |
20535 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
127872 |
Modular degree for the optimal curve |
Δ |
-2370923631396675 = -1 · 33 · 52 · 378 |
Discriminant |
Eigenvalues |
1 3- 5+ 1 -6 7 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13719,2421817] |
[a1,a2,a3,a4,a6] |
j |
-81289/675 |
j-invariant |
L |
2.3615683357412 |
L(r)(E,1)/r! |
Ω |
0.39359472262354 |
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 |
61605l1 102675e1 20535f1 |
Quadratic twists by: -3 5 37 |