Atkin-Lehner |
3- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13395d |
Isogeny class |
Conductor |
13395 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2784 |
Modular degree for the optimal curve |
Δ |
361665 = 34 · 5 · 19 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-96,-369] |
[a1,a2,a3,a4,a6] |
j |
97908438529/361665 |
j-invariant |
L |
1.5254734997083 |
L(r)(E,1)/r! |
Ω |
1.5254734997083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40185g1 66975b1 |
Quadratic twists by: -3 5 |