Atkin-Lehner |
2+ 3+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
20178b |
Isogeny class |
Conductor |
20178 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
28572048 = 24 · 33 · 19 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-237,-1323] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:9:1] |
Generators of the group modulo torsion |
j |
54655684875/1058224 |
j-invariant |
L |
3.4496939602935 |
L(r)(E,1)/r! |
Ω |
1.2179723366832 |
Real period |
R |
1.4161626895763 |
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 |
20178l1 |
Quadratic twists by: -3 |