Atkin-Lehner |
2+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
73304m |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-2345728 = -1 · 28 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11+ 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12,-76] |
[a1,a2,a3,a4,a6] |
Generators |
[138:260:27] |
Generators of the group modulo torsion |
j |
14000/187 |
j-invariant |
L |
9.068406296296 |
L(r)(E,1)/r! |
Ω |
1.2678396999692 |
Real period |
R |
3.5763221077453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73304a1 |
Quadratic twists by: -7 |