Atkin-Lehner |
3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
7395j |
Isogeny class |
Conductor |
7395 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-1623209895 = -1 · 33 · 5 · 17 · 294 |
Discriminant |
Eigenvalues |
1 3- 5- 0 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-233,2351] |
[a1,a2,a3,a4,a6] |
j |
-1390302566281/1623209895 |
j-invariant |
L |
4.0764230432504 |
L(r)(E,1)/r! |
Ω |
1.3588076810835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118320bp1 22185l1 36975l1 125715c1 |
Quadratic twists by: -4 -3 5 17 |