Atkin-Lehner |
11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
9559c |
Isogeny class |
Conductor |
9559 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-16934351599 = -1 · 118 · 79 |
Discriminant |
Eigenvalues |
1 -2 2 -4 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-245,6411] |
[a1,a2,a3,a4,a6] |
Generators |
[366:2233:8] |
Generators of the group modulo torsion |
j |
-912673/9559 |
j-invariant |
L |
3.1856305795715 |
L(r)(E,1)/r! |
Ω |
1.0510666928847 |
Real period |
R |
3.0308548459739 |
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 |
86031i1 869c1 |
Quadratic twists by: -3 -11 |