Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488bd |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
242027597463552 = 216 · 32 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55873,-5046625] |
[a1,a2,a3,a4,a6] |
j |
12194500/153 |
j-invariant |
L |
1.2430481862447 |
L(r)(E,1)/r! |
Ω |
0.31076204696273 |
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 |
55488cc1 6936c1 3264b1 |
Quadratic twists by: -4 8 17 |