Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15162o |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
-2773347910343136 = -1 · 25 · 36 · 7 · 198 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -6 5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,28150,1767260] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1077:1] |
Generators of the group modulo torsion |
j |
145262087/163296 |
j-invariant |
L |
3.2026092958074 |
L(r)(E,1)/r! |
Ω |
0.30180079523815 |
Real period |
R |
5.3058330964308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
121296bv1 45486bm1 106134g1 15162x1 |
Quadratic twists by: -4 -3 -7 -19 |