Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1224b |
Isogeny class |
Conductor |
1224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
3172608 = 28 · 36 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39,-38] |
[a1,a2,a3,a4,a6] |
j |
35152/17 |
j-invariant |
L |
2.0051741251668 |
L(r)(E,1)/r! |
Ω |
2.0051741251668 |
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 |
2448c1 9792l1 136a1 30600ci1 |
Quadratic twists by: -4 8 -3 5 |