Atkin-Lehner |
2+ 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904q |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2230272 |
Modular degree for the optimal curve |
Δ |
-6655219638114189312 = -1 · 240 · 36 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -6 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1168577,501424287] |
[a1,a2,a3,a4,a6] |
j |
-673218690226274737/25387648155648 |
j-invariant |
L |
2.8260419002265 |
L(r)(E,1)/r! |
Ω |
0.23550348570785 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83904u1 2622b1 |
Quadratic twists by: -4 8 |