Atkin-Lehner |
2- 3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576bi |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1143174197501952 = 213 · 3 · 7 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-115984,15155008] |
[a1,a2,a3,a4,a6] |
Generators |
[213:262:1] [378:5018:1] |
Generators of the group modulo torsion |
j |
42127118642092177/279095263062 |
j-invariant |
L |
9.501507094086 |
L(r)(E,1)/r! |
Ω |
0.49097401586495 |
Real period |
R |
19.352362414459 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322j3 |
Quadratic twists by: -4 |