Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600bx |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
2312000000000 = 212 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -3 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4533,93437] |
[a1,a2,a3,a4,a6] |
j |
557056/125 |
j-invariant |
L |
1.5438667136674 |
L(r)(E,1)/r! |
Ω |
0.77193309119467 |
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 |
7225a1 23120r1 115600ck1 |
Quadratic twists by: -4 5 17 |