Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360de |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
30527078400 = 214 · 32 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-785,783] |
[a1,a2,a3,a4,a6] |
j |
3269383504/1863225 |
j-invariant |
L |
4.0315309885024 |
L(r)(E,1)/r! |
Ω |
1.0078827447568 |
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 |
87360fs2 10920k2 |
Quadratic twists by: -4 8 |