Atkin-Lehner |
2- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42688r |
Isogeny class |
Conductor |
42688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-64344817664 = -1 · 222 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 1 -1 0 -3 -1 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,12703] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:128:1] [33:184:1] |
Generators of the group modulo torsion |
j |
-47045881/245456 |
j-invariant |
L |
9.7230063580302 |
L(r)(E,1)/r! |
Ω |
0.95617442301993 |
Real period |
R |
1.2710816828955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42688c1 10672f1 |
Quadratic twists by: -4 8 |