Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760bu |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
61280420659200 = 215 · 34 · 52 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87681,10015425] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:2232:1] |
Generators of the group modulo torsion |
j |
2275072354448648/1870130025 |
j-invariant |
L |
4.5623687379303 |
L(r)(E,1)/r! |
Ω |
0.61870046650182 |
Real period |
R |
1.8435288903717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29760ce4 14880r3 89280fr4 |
Quadratic twists by: -4 8 -3 |