Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29988bi |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
24196947339043584 = 28 · 39 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 6 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93639,8100974] |
[a1,a2,a3,a4,a6] |
j |
1722448/459 |
j-invariant |
L |
1.4150920171023 |
L(r)(E,1)/r! |
Ω |
0.35377300427631 |
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 |
119952fs1 9996h1 29988w1 |
Quadratic twists by: -4 -3 -7 |