Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472v |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-169011337936896 = -1 · 214 · 34 · 73 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -2 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7925,679251] |
[a1,a2,a3,a4,a6] |
j |
-3360132358144/10315633419 |
j-invariant |
L |
2.0136326847869 |
L(r)(E,1)/r! |
Ω |
0.50340817119673 |
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 |
17472cc1 1092b1 52416bo1 122304bv1 |
Quadratic twists by: -4 8 -3 -7 |