Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7176g |
Isogeny class |
Conductor |
7176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-322403328 = -1 · 210 · 34 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-304,-2320] |
[a1,a2,a3,a4,a6] |
j |
-3044193988/314847 |
j-invariant |
L |
2.2727832368953 |
L(r)(E,1)/r! |
Ω |
0.56819580922384 |
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 |
14352e1 57408o1 21528l1 93288bn1 |
Quadratic twists by: -4 8 -3 13 |