Atkin-Lehner |
2- 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20748o |
Isogeny class |
Conductor |
20748 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
983953152 = 28 · 32 · 7 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2277668,1322313876] |
[a1,a2,a3,a4,a6] |
Generators |
[188430:15029:216] |
Generators of the group modulo torsion |
j |
5104523390173559602000/3843567 |
j-invariant |
L |
6.4269477028078 |
L(r)(E,1)/r! |
Ω |
0.68109398572693 |
Real period |
R |
4.7181063388398 |
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 |
82992be2 62244z2 |
Quadratic twists by: -4 -3 |