Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
102672ci |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-95192142741504 = -1 · 215 · 311 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 4 1 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47163,3970154] |
[a1,a2,a3,a4,a6] |
Generators |
[55:1242:1] |
Generators of the group modulo torsion |
j |
-3885442650361/31879656 |
j-invariant |
L |
7.9524382208775 |
L(r)(E,1)/r! |
Ω |
0.6038340293089 |
Real period |
R |
1.646238418468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12834i1 34224v1 |
Quadratic twists by: -4 -3 |