Atkin-Lehner |
5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3895d |
Isogeny class |
Conductor |
3895 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
704 |
Modular degree for the optimal curve |
Δ |
-19475 = -1 · 52 · 19 · 41 |
Discriminant |
Eigenvalues |
2 3 5+ 0 0 5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13,19] |
[a1,a2,a3,a4,a6] |
j |
-242970624/19475 |
j-invariant |
L |
7.5590174100344 |
L(r)(E,1)/r! |
Ω |
3.7795087050172 |
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 |
62320q1 35055j1 19475f1 74005k1 |
Quadratic twists by: -4 -3 5 -19 |