Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9114u |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-9650276874 = -1 · 2 · 33 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 1 -5 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11271,455895] |
[a1,a2,a3,a4,a6] |
j |
-1345938541921/82026 |
j-invariant |
L |
2.4502755487272 |
L(r)(E,1)/r! |
Ω |
1.2251377743636 |
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 |
72912cg1 27342n1 1302p1 |
Quadratic twists by: -4 -3 -7 |