Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
109800n |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
30516851250000 = 24 · 38 · 57 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7950,61625] |
[a1,a2,a3,a4,a6] |
j |
304900096/167445 |
j-invariant |
L |
2.2969821628026 |
L(r)(E,1)/r! |
Ω |
0.57424561366572 |
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 |
36600t1 21960r1 |
Quadratic twists by: -3 5 |