Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600o |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-106293660000000 = -1 · 28 · 3 · 57 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11092,205812] |
[a1,a2,a3,a4,a6] |
j |
21296/15 |
j-invariant |
L |
1.5084046918808 |
L(r)(E,1)/r! |
Ω |
0.37710117600282 |
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 |
14520bo1 600f1 |
Quadratic twists by: 5 -11 |