Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360fd |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
125783192371200 = 223 · 3 · 52 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5734625,5287650177] |
[a1,a2,a3,a4,a6] |
j |
79560762543506753209/479824800 |
j-invariant |
L |
3.2090546105687 |
L(r)(E,1)/r! |
Ω |
0.4011318213947 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360dr4 21840bq4 |
Quadratic twists by: -4 8 |