Atkin-Lehner |
2- 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17934r |
Isogeny class |
Conductor |
17934 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-258357204 = -1 · 22 · 32 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -1 5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10046,383375] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-23:1] |
Generators of the group modulo torsion |
j |
-953054410321/2196 |
j-invariant |
L |
6.1389389282555 |
L(r)(E,1)/r! |
Ω |
1.5094688600188 |
Real period |
R |
1.0167382532455 |
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 |
53802q1 366a1 |
Quadratic twists by: -3 -7 |