Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29988bc |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
2230649399833344 = 28 · 321 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34167,863422] |
[a1,a2,a3,a4,a6] |
j |
482370434896/243931419 |
j-invariant |
L |
0.8165797694682 |
L(r)(E,1)/r! |
Ω |
0.40828988473399 |
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 |
119952es1 9996n1 29988v1 |
Quadratic twists by: -4 -3 -7 |