Atkin-Lehner |
3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20691n |
Isogeny class |
Conductor |
20691 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-668340732233742579 = -1 · 36 · 117 · 196 |
Discriminant |
Eigenvalues |
0 3- 3 4 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,209814,-13368897] |
[a1,a2,a3,a4,a6] |
Generators |
[594:12943:8] |
Generators of the group modulo torsion |
j |
790939860992/517504691 |
j-invariant |
L |
5.9750830510093 |
L(r)(E,1)/r! |
Ω |
0.16388209264388 |
Real period |
R |
4.5574557251912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2299c2 1881b2 |
Quadratic twists by: -3 -11 |