Atkin-Lehner |
2- 3- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19314p |
Isogeny class |
Conductor |
19314 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-6629556856038912 = -1 · 29 · 315 · 293 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40450,-2364019] |
[a1,a2,a3,a4,a6] |
j |
10040649967190375/9094042326528 |
j-invariant |
L |
4.1651075981009 |
L(r)(E,1)/r! |
Ω |
0.23139486656116 |
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 |
6438c1 |
Quadratic twists by: -3 |