Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9030h |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-10704234240 = -1 · 28 · 34 · 5 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,101,-4954] |
[a1,a2,a3,a4,a6] |
Generators |
[31:152:1] |
Generators of the group modulo torsion |
j |
115572468311/10704234240 |
j-invariant |
L |
3.776001698599 |
L(r)(E,1)/r! |
Ω |
0.60877598968853 |
Real period |
R |
1.5506531805447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240bq1 27090bq1 45150ci1 63210o1 |
Quadratic twists by: -4 -3 5 -7 |