Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
80496w |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5840284889088 = -1 · 212 · 33 · 134 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 2 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7011,254114] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:688:1] [31:-258:1] |
Generators of the group modulo torsion |
j |
-344619542331/52809289 |
j-invariant |
L |
9.8662897743038 |
L(r)(E,1)/r! |
Ω |
0.73183684612666 |
Real period |
R |
1.6851928518314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5031a2 80496v2 |
Quadratic twists by: -4 -3 |