Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568q |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-911458738944 = -1 · 28 · 38 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 3 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2388,-64244] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1053:1] |
Generators of the group modulo torsion |
j |
-8069733376/4883931 |
j-invariant |
L |
5.1676940181048 |
L(r)(E,1)/r! |
Ω |
0.33229790140322 |
Real period |
R |
1.9439236586669 |
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 |
17784s1 11856m1 |
Quadratic twists by: -4 -3 |