Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352v |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
70837874688 = 212 · 3 · 78 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-614672,-185691948] |
[a1,a2,a3,a4,a6] |
j |
53297461115137/147 |
j-invariant |
L |
2.7280895434241 |
L(r)(E,1)/r! |
Ω |
0.17050559646401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
147a5 9408cd5 7056bx5 58800gb6 |
Quadratic twists by: -4 8 -3 5 |