Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760bw |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
31883673600 = 214 · 34 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1521,-20655] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:32:1] |
Generators of the group modulo torsion |
j |
23767139536/1946025 |
j-invariant |
L |
2.8342395682359 |
L(r)(E,1)/r! |
Ω |
0.76841726490861 |
Real period |
R |
1.8442060698447 |
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 |
29760z2 7440h2 89280gc2 |
Quadratic twists by: -4 8 -3 |