Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8280a |
Isogeny class |
Conductor |
8280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-18282240 = -1 · 28 · 33 · 5 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,57,122] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:8:1] |
Generators of the group modulo torsion |
j |
2963088/2645 |
j-invariant |
L |
4.1324888042547 |
L(r)(E,1)/r! |
Ω |
1.4209607770729 |
Real period |
R |
1.4541178303202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16560d2 66240o2 8280r2 41400bf2 |
Quadratic twists by: -4 8 -3 5 |