Atkin-Lehner |
2+ 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490ba |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-2821294080 = -1 · 211 · 32 · 5 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 11+ 4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,107,2528] |
[a1,a2,a3,a4,a6] |
j |
103161709/2119680 |
j-invariant |
L |
4.2827745313914 |
L(r)(E,1)/r! |
Ω |
1.0706936440651 |
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 |
83490cn1 |
Quadratic twists by: -11 |