Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472ci |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
25985548288 = 218 · 73 · 172 |
Discriminant |
Eigenvalues |
2- -3 4 7+ 0 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-748,1360] |
[a1,a2,a3,a4,a6] |
j |
610929/343 |
j-invariant |
L |
2.0559249585431 |
L(r)(E,1)/r! |
Ω |
1.0279627228257 |
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 |
129472bi1 32368l1 129472du1 |
Quadratic twists by: -4 8 17 |