Atkin-Lehner |
3- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
35547g |
Isogeny class |
Conductor |
35547 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
80256 |
Modular degree for the optimal curve |
Δ |
-35683251651 = -1 · 311 · 173 · 41 |
Discriminant |
Eigenvalues |
1 3- 1 1 2 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-216068,38639369] |
[a1,a2,a3,a4,a6] |
Generators |
[279:166:1] |
Generators of the group modulo torsion |
j |
-227062499652459017/7263027 |
j-invariant |
L |
9.5084556062967 |
L(r)(E,1)/r! |
Ω |
0.85167047919496 |
Real period |
R |
0.50747623419741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106641d1 35547a1 |
Quadratic twists by: -3 17 |