Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20672ba |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-5622784 = -1 · 210 · 172 · 19 |
Discriminant |
Eigenvalues |
2- -2 2 0 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3,115] |
[a1,a2,a3,a4,a6] |
Generators |
[11:40:1] |
Generators of the group modulo torsion |
j |
2048/5491 |
j-invariant |
L |
3.7951559693245 |
L(r)(E,1)/r! |
Ω |
1.8878958476673 |
Real period |
R |
2.0102570668896 |
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 |
20672e1 5168a1 |
Quadratic twists by: -4 8 |