Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790dv |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-110015729251934310 = -1 · 2 · 315 · 5 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58883,-16864599] |
[a1,a2,a3,a4,a6] |
j |
-263251475929/1282741110 |
j-invariant |
L |
2.2163187763098 |
L(r)(E,1)/r! |
Ω |
0.138519927256 |
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 |
27930o1 11970cj1 |
Quadratic twists by: -3 -7 |