Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040cd |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
363000000000000000 = 215 · 3 · 515 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- -5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-229896,-30904080] |
[a1,a2,a3,a4,a6] |
Generators |
[-380:1200:1] |
Generators of the group modulo torsion |
j |
2711280982499089/732421875000 |
j-invariant |
L |
3.7726318462559 |
L(r)(E,1)/r! |
Ω |
0.22243998074513 |
Real period |
R |
4.2400559396049 |
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 |
3630h2 116160jb2 87120fw2 29040ca2 |
Quadratic twists by: -4 8 -3 -11 |