Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138u |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-679058630780094 = -1 · 2 · 39 · 297 |
Discriminant |
Eigenvalues |
2- 3- -1 1 6 -4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38003,3124433] |
[a1,a2,a3,a4,a6] |
Generators |
[-1506:15887:8] |
Generators of the group modulo torsion |
j |
-13997521/1566 |
j-invariant |
L |
7.3331268271144 |
L(r)(E,1)/r! |
Ω |
0.49623830623731 |
Real period |
R |
1.8471787483309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104bu1 5046d1 522e1 |
Quadratic twists by: -4 -3 29 |