Atkin-Lehner |
2+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83030a |
Isogeny class |
Conductor |
83030 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
919296 |
Modular degree for the optimal curve |
Δ |
-132248967372702080 = -1 · 27 · 5 · 198 · 233 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 -3 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-81594,19655532] |
[a1,a2,a3,a4,a6] |
j |
-3537218809/7786880 |
j-invariant |
L |
1.1672698007289 |
L(r)(E,1)/r! |
Ω |
0.29181744294106 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
83030f1 |
Quadratic twists by: -19 |