Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760cx |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4902433652736000 = 219 · 34 · 53 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96865,11071775] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:4185:1] |
Generators of the group modulo torsion |
j |
383432500775449/18701300250 |
j-invariant |
L |
5.7311486511828 |
L(r)(E,1)/r! |
Ω |
0.42729082329284 |
Real period |
R |
1.1177298806733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29760o4 7440k3 89280ex4 |
Quadratic twists by: -4 8 -3 |