Atkin-Lehner |
7- 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12719a |
Isogeny class |
Conductor |
12719 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
292537 = 7 · 232 · 79 |
Discriminant |
Eigenvalues |
1 0 -4 7- 4 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19,24] |
[a1,a2,a3,a4,a6] |
j |
781229961/292537 |
j-invariant |
L |
1.4049767947195 |
L(r)(E,1)/r! |
Ω |
2.8099535894391 |
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 |
114471u1 89033a1 |
Quadratic twists by: -3 -7 |