Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592w |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12766994158583808 = 218 · 39 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2158903179,-38609827591878] |
[a1,a2,a3,a4,a6] |
Generators |
[350608632142943249591501:-119602426723187773122425690:2605847749131498299] |
Generators of the group modulo torsion |
j |
13802951728468271053322091/158357056 |
j-invariant |
L |
6.6922428025733 |
L(r)(E,1)/r! |
Ω |
0.022148344154245 |
Real period |
R |
37.769430730167 |
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 |
2574q2 82368cx2 20592r2 |
Quadratic twists by: -4 8 -3 |