Atkin-Lehner |
2- 3- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98532m |
Isogeny class |
Conductor |
98532 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-633394274026752 = -1 · 28 · 317 · 72 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 1 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27543,-2135810] |
[a1,a2,a3,a4,a6] |
j |
-12381975627856/3393959373 |
j-invariant |
L |
2.9230429534973 |
L(r)(E,1)/r! |
Ω |
0.18269018537034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32844d1 |
Quadratic twists by: -3 |