Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688g |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
635175936 = 210 · 32 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-232,-700] |
[a1,a2,a3,a4,a6] |
j |
19652/9 |
j-invariant |
L |
5.108990245761 |
L(r)(E,1)/r! |
Ω |
1.2772475673971 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40344d1 80688b1 |
Quadratic twists by: -4 41 |