Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472cv |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-120766464 = -1 · 214 · 34 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -2 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,91,-381] |
[a1,a2,a3,a4,a6] |
j |
5030912/7371 |
j-invariant |
L |
3.9489897505994 |
L(r)(E,1)/r! |
Ω |
0.98724743764984 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17472q1 4368c1 52416fn1 122304fr1 |
Quadratic twists by: -4 8 -3 -7 |