Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592i |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
852496939008 = 211 · 37 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15339,-729862] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:36:1] |
Generators of the group modulo torsion |
j |
267335955794/570999 |
j-invariant |
L |
6.2007074382718 |
L(r)(E,1)/r! |
Ω |
0.42904814083779 |
Real period |
R |
0.90326510711652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10296j4 82368ei4 6864c4 |
Quadratic twists by: -4 8 -3 |