Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360o |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-4548960000 = -1 · 28 · 37 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183,3382] |
[a1,a2,a3,a4,a6] |
Generators |
[6:50:1] |
Generators of the group modulo torsion |
j |
-3631696/24375 |
j-invariant |
L |
3.6012224195693 |
L(r)(E,1)/r! |
Ω |
1.1848555989516 |
Real period |
R |
1.5196883159246 |
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 |
4680g1 37440fl1 3120k1 46800x1 |
Quadratic twists by: -4 8 -3 5 |