Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720cq |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
31318727956992000 = 212 · 316 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-94200,-7196652] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:1890:1] |
Generators of the group modulo torsion |
j |
22569455565127801/7646173817625 |
j-invariant |
L |
8.464799722461 |
L(r)(E,1)/r! |
Ω |
0.27998381810382 |
Real period |
R |
0.31492890448524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3045f1 |
Quadratic twists by: -4 |