Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600ci |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-1106841792000000 = -1 · 212 · 3 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 -5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22867,-881637] |
[a1,a2,a3,a4,a6] |
j |
3584/3 |
j-invariant |
L |
3.2475978360056 |
L(r)(E,1)/r! |
Ω |
0.270633211089 |
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 |
117600j1 4704q1 117600bf1 |
Quadratic twists by: -4 5 -7 |