Atkin-Lehner |
2- 3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
8610m |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
1898911392000 = 28 · 3 · 53 · 7 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9020,-326755] |
[a1,a2,a3,a4,a6] |
j |
81160802762719681/1898911392000 |
j-invariant |
L |
2.9435256489767 |
L(r)(E,1)/r! |
Ω |
0.49058760816279 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68880cx1 25830i1 43050x1 60270bk1 |
Quadratic twists by: -4 -3 5 -7 |