Atkin-Lehner |
2- 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960bc |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1785751142400 = 220 · 34 · 52 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22280,1285872] |
[a1,a2,a3,a4,a6] |
j |
298626824461321/435974400 |
j-invariant |
L |
1.6713925054266 |
L(r)(E,1)/r! |
Ω |
0.83569625271332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
870d2 27840dg2 20880bq2 34800de2 |
Quadratic twists by: -4 8 -3 5 |