Atkin-Lehner |
2- 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592co |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-39502577664 = -1 · 215 · 35 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 11- -1 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,479,-8831] |
[a1,a2,a3,a4,a6] |
j |
370146232/1205523 |
j-invariant |
L |
2.3481954473999 |
L(r)(E,1)/r! |
Ω |
0.587048853613 |
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 |
86592dc1 43296m1 |
Quadratic twists by: -4 8 |