Atkin-Lehner |
2- 3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576bi |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-6593795959382016 = -1 · 213 · 3 · 74 · 112 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,46256,-790976] |
[a1,a2,a3,a4,a6] |
Generators |
[48:1240:1] [186:3770:1] |
Generators of the group modulo torsion |
j |
2672136246863663/1609813466646 |
j-invariant |
L |
9.501507094086 |
L(r)(E,1)/r! |
Ω |
0.24548700793248 |
Real period |
R |
4.8380906036147 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003142 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14322j4 |
Quadratic twists by: -4 |