Atkin-Lehner |
2+ 3- 5+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
34170i |
Isogeny class |
Conductor |
34170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
63488 |
Modular degree for the optimal curve |
Δ |
363056250000 = 24 · 3 · 58 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2044,-20758] |
[a1,a2,a3,a4,a6] |
Generators |
[-465:2837:27] |
Generators of the group modulo torsion |
j |
943758597478969/363056250000 |
j-invariant |
L |
5.6579932839458 |
L(r)(E,1)/r! |
Ω |
0.73357199649334 |
Real period |
R |
3.8564676071279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102510x1 |
Quadratic twists by: -3 |