Atkin-Lehner |
2+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8584a |
Isogeny class |
Conductor |
8584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1178960896 = 210 · 292 · 372 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-379,2310] |
[a1,a2,a3,a4,a6] |
Generators |
[-1770:8694:125] |
Generators of the group modulo torsion |
j |
5879513412/1151329 |
j-invariant |
L |
4.7998060907148 |
L(r)(E,1)/r! |
Ω |
1.4610885555166 |
Real period |
R |
6.5701782039044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17168a2 68672m2 77256m2 |
Quadratic twists by: -4 8 -3 |