Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1224f |
Isogeny class |
Conductor |
1224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-85660416 = -1 · 28 · 39 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 -3 -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,108,-108] |
[a1,a2,a3,a4,a6] |
Generators |
[12:54:1] |
Generators of the group modulo torsion |
j |
27648/17 |
j-invariant |
L |
2.6100682086735 |
L(r)(E,1)/r! |
Ω |
1.1083162129959 |
Real period |
R |
0.58874628424369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2448b1 9792d1 1224a1 30600a1 |
Quadratic twists by: -4 8 -3 5 |