Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
7008g |
Isogeny class |
Conductor |
7008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-196448256 = -1 · 212 · 32 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49,671] |
[a1,a2,a3,a4,a6] |
Generators |
[5:24:1] |
Generators of the group modulo torsion |
j |
-3241792/47961 |
j-invariant |
L |
4.2360368149967 |
L(r)(E,1)/r! |
Ω |
1.5128862668833 |
Real period |
R |
1.3999852162461 |
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 |
7008c2 14016bn1 21024p2 |
Quadratic twists by: -4 8 -3 |