Atkin-Lehner |
2+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42688j |
Isogeny class |
Conductor |
42688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10496 |
Modular degree for the optimal curve |
Δ |
-981824 = -1 · 26 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ -1 -1 4 -1 3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-916,10982] |
[a1,a2,a3,a4,a6] |
Generators |
[11:46:1] |
Generators of the group modulo torsion |
j |
-1329548527936/15341 |
j-invariant |
L |
4.8868871133519 |
L(r)(E,1)/r! |
Ω |
2.5242061677192 |
Real period |
R |
0.96800474855135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42688b1 21344e1 |
Quadratic twists by: -4 8 |