Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280dk |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
685670400 = 215 · 33 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -6 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3948,95472] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:420:1] |
Generators of the group modulo torsion |
j |
7692038424/775 |
j-invariant |
L |
6.8365785936822 |
L(r)(E,1)/r! |
Ω |
1.5443204182391 |
Real period |
R |
2.213458591762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960688 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280dd2 44640bf2 89280dw2 |
Quadratic twists by: -4 8 -3 |