Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592dd |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
-13667506104384 = -1 · 26 · 316 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4428,138510] |
[a1,a2,a3,a4,a6] |
j |
149992136715968/213554782881 |
j-invariant |
L |
3.8240382857816 |
L(r)(E,1)/r! |
Ω |
0.4780047853767 |
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 |
86592cp1 43296y2 |
Quadratic twists by: -4 8 |