Atkin-Lehner |
3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18081j |
Isogeny class |
Conductor |
18081 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-5981415044661 = -1 · 311 · 77 · 41 |
Discriminant |
Eigenvalues |
1 3- -3 7- 2 -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3096,135841] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:461:1] |
Generators of the group modulo torsion |
j |
-38272753/69741 |
j-invariant |
L |
4.1131813116414 |
L(r)(E,1)/r! |
Ω |
0.67563866788274 |
Real period |
R |
1.5219604454149 |
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 |
6027d1 2583f1 |
Quadratic twists by: -3 -7 |