Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400u |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
33000000 = 26 · 3 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-258,1488] |
[a1,a2,a3,a4,a6] |
Generators |
[17:48:1] |
Generators of the group modulo torsion |
j |
1906624/33 |
j-invariant |
L |
5.7753357828155 |
L(r)(E,1)/r! |
Ω |
2.0777672825533 |
Real period |
R |
2.7795874115981 |
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 |
26400be1 52800m1 79200dl1 1056h1 |
Quadratic twists by: -4 8 -3 5 |