Atkin-Lehner |
2- 7+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19684a |
Isogeny class |
Conductor |
19684 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-8640803584 = -1 · 28 · 7 · 194 · 37 |
Discriminant |
Eigenvalues |
2- 0 3 7+ -3 -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,64,4468] |
[a1,a2,a3,a4,a6] |
j |
113246208/33753139 |
j-invariant |
L |
2.0226223473137 |
L(r)(E,1)/r! |
Ω |
1.0113111736569 |
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 |
78736z1 |
Quadratic twists by: -4 |