Atkin-Lehner |
3- 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
31059h |
Isogeny class |
Conductor |
31059 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-189219580273143 = -1 · 313 · 72 · 174 · 29 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5823,637888] |
[a1,a2,a3,a4,a6] |
Generators |
[6894:199735:8] |
Generators of the group modulo torsion |
j |
29949846491375/259560466767 |
j-invariant |
L |
6.0113928812136 |
L(r)(E,1)/r! |
Ω |
0.41520102772874 |
Real period |
R |
7.2391353582356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10353a1 |
Quadratic twists by: -3 |