Atkin-Lehner |
2- 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26532d |
Isogeny class |
Conductor |
26532 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-49927705344 = -1 · 28 · 37 · 113 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11+ -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768,-13516] |
[a1,a2,a3,a4,a6] |
Generators |
[1309:47349:1] |
Generators of the group modulo torsion |
j |
-268435456/267531 |
j-invariant |
L |
5.3108726396823 |
L(r)(E,1)/r! |
Ω |
0.43590678266351 |
Real period |
R |
6.0917526990878 |
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 |
106128bw1 8844c1 |
Quadratic twists by: -4 -3 |