Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18513o |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-19561865326443 = -1 · 310 · 117 · 17 |
Discriminant |
Eigenvalues |
-2 3- 0 3 11- 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9075,394974] |
[a1,a2,a3,a4,a6] |
Generators |
[11:544:1] |
Generators of the group modulo torsion |
j |
-64000000/15147 |
j-invariant |
L |
2.8849005972485 |
L(r)(E,1)/r! |
Ω |
0.65377597543288 |
Real period |
R |
1.1031686333145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6171h1 1683i1 |
Quadratic twists by: -3 -11 |