Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
26264k |
Isogeny class |
Conductor |
26264 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
311808 |
Modular degree for the optimal curve |
Δ |
2128715858560807936 = 210 · 73 · 677 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -4 1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-591376,-160153636] |
[a1,a2,a3,a4,a6] |
Generators |
[-422:3752:1] |
Generators of the group modulo torsion |
j |
65121059253382492/6060711605323 |
j-invariant |
L |
3.1246315290787 |
L(r)(E,1)/r! |
Ω |
0.17318718054474 |
Real period |
R |
0.64435475437833 |
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 |
52528f1 26264f1 |
Quadratic twists by: -4 -7 |