Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7623p |
Isogeny class |
Conductor |
7623 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-22335167517477507 = -1 · 37 · 78 · 116 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37049,-7687204] |
[a1,a2,a3,a4,a6] |
j |
-4354703137/17294403 |
j-invariant |
L |
1.2564657973685 |
L(r)(E,1)/r! |
Ω |
0.15705822467107 |
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 |
121968ec5 2541l6 53361bo5 63a6 |
Quadratic twists by: -4 -3 -7 -11 |