Atkin-Lehner |
3- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
35547f |
Isogeny class |
Conductor |
35547 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19136 |
Modular degree for the optimal curve |
Δ |
-2968920987 = -1 · 3 · 176 · 41 |
Discriminant |
Eigenvalues |
0 3- 2 4 -5 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,193,-2347] |
[a1,a2,a3,a4,a6] |
Generators |
[152847:913220:4913] |
Generators of the group modulo torsion |
j |
32768/123 |
j-invariant |
L |
6.8000179017612 |
L(r)(E,1)/r! |
Ω |
0.72455557303863 |
Real period |
R |
9.3850881213218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106641a1 123b1 |
Quadratic twists by: -3 17 |