Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
3480c |
Isogeny class |
Conductor |
3480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-21727672320 = -1 · 211 · 3 · 5 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,360,-6708] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1210:1] |
Generators of the group modulo torsion |
j |
2512432078/10609215 |
j-invariant |
L |
2.9510867997443 |
L(r)(E,1)/r! |
Ω |
0.61130028869453 |
Real period |
R |
4.8275566923852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6960t4 27840bn3 10440t4 17400bn4 |
Quadratic twists by: -4 8 -3 5 |