Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26928l |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-34898688 = -1 · 28 · 36 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 11+ -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180,972] |
[a1,a2,a3,a4,a6] |
Generators |
[9:9:1] |
Generators of the group modulo torsion |
j |
-3456000/187 |
j-invariant |
L |
4.3207114762462 |
L(r)(E,1)/r! |
Ω |
2.0397008197648 |
Real period |
R |
1.0591532430586 |
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 |
13464s1 107712ex1 2992c1 |
Quadratic twists by: -4 8 -3 |