Atkin-Lehner |
2- 29- |
Signs for the Atkin-Lehner involutions |
Class |
26912i |
Isogeny class |
Conductor |
26912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84448 |
Modular degree for the optimal curve |
Δ |
928457342455616 = 26 · 299 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24389,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-1641063125:-4750160050:10793861] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
6.6470685806711 |
L(r)(E,1)/r! |
Ω |
0.41963694579586 |
Real period |
R |
15.840046133366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26912i1 53824bh2 26912b1 |
Quadratic twists by: -4 8 29 |