Atkin-Lehner |
2- 3+ 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20706r |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
428738436 = 22 · 32 · 72 · 172 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-237,-1089] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1298:1] |
Generators of the group modulo torsion |
j |
1472594839633/428738436 |
j-invariant |
L |
7.7573405538775 |
L(r)(E,1)/r! |
Ω |
1.2438786592077 |
Real period |
R |
3.1182063043106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62118j2 |
Quadratic twists by: -3 |