Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360gr |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1519855803983462400 = 222 · 36 · 52 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3951585,-3024201825] |
[a1,a2,a3,a4,a6] |
j |
26031421522845051769/5797789779600 |
j-invariant |
L |
1.2849722869571 |
L(r)(E,1)/r! |
Ω |
0.10708102456556 |
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 |
87360bh2 21840bd2 |
Quadratic twists by: -4 8 |