Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
11466m |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-121709145312939366 = -1 · 2 · 37 · 78 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -3 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,82899,14026851] |
[a1,a2,a3,a4,a6] |
Generators |
[375:9699:1] |
Generators of the group modulo torsion |
j |
14991903983/28960854 |
j-invariant |
L |
2.2073557754317 |
L(r)(E,1)/r! |
Ω |
0.22819950387647 |
Real period |
R |
1.2091151262026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
91728dr2 3822bc2 11466r2 |
Quadratic twists by: -4 -3 -7 |