Atkin-Lehner |
2+ 3+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672i |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-184434432 = -1 · 28 · 3 · 72 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92,768] |
[a1,a2,a3,a4,a6] |
Generators |
[1:26:1] [13:40:1] |
Generators of the group modulo torsion |
j |
-340062928/720447 |
j-invariant |
L |
11.437109159668 |
L(r)(E,1)/r! |
Ω |
1.5980357205899 |
Real period |
R |
3.5784898351267 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999956877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63336i1 |
Quadratic twists by: -4 |