Atkin-Lehner |
2- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200s |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-84185750000 = -1 · 24 · 56 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11+ -3 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-258,-14137] |
[a1,a2,a3,a4,a6] |
j |
-7626496/336743 |
j-invariant |
L |
1.8892196526976 |
L(r)(E,1)/r! |
Ω |
0.47230488606032 |
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 |
25300k1 4048e1 |
Quadratic twists by: -4 5 |