Atkin-Lehner |
2+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22984d |
Isogeny class |
Conductor |
22984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
60351021662464 = 28 · 138 · 172 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13351,461370] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:840:1] [-78:1014:1] |
Generators of the group modulo torsion |
j |
212992848/48841 |
j-invariant |
L |
6.7096771716385 |
L(r)(E,1)/r! |
Ω |
0.58757373646816 |
Real period |
R |
11.419293877854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45968d2 1768e2 |
Quadratic twists by: -4 13 |