Atkin-Lehner |
2- 3- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7626i |
Isogeny class |
Conductor |
7626 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-7641559193956074 = -1 · 2 · 33 · 313 · 416 |
Discriminant |
Eigenvalues |
2- 3- 3 2 3 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30054,4656942] |
[a1,a2,a3,a4,a6] |
j |
-3002143597998101857/7641559193956074 |
j-invariant |
L |
6.632159115469 |
L(r)(E,1)/r! |
Ω |
0.36845328419272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61008e2 22878d2 |
Quadratic twists by: -4 -3 |