Atkin-Lehner |
2- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7616i |
Isogeny class |
Conductor |
7616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-51381071773696 = -1 · 219 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8404,176080] |
[a1,a2,a3,a4,a6] |
Generators |
[29428:424080:343] |
Generators of the group modulo torsion |
j |
250404380127/196003234 |
j-invariant |
L |
3.3532748640437 |
L(r)(E,1)/r! |
Ω |
0.40637191663106 |
Real period |
R |
8.2517386827399 |
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 |
7616e4 1904c4 68544dl3 53312bs3 |
Quadratic twists by: -4 8 -3 -7 |