Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286bf |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2147556739278006 = -1 · 2 · 37 · 79 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 -5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11916,-2282162] |
[a1,a2,a3,a4,a6] |
Generators |
[191:1448:1] [317:4913:1] |
Generators of the group modulo torsion |
j |
-2181825073/25039686 |
j-invariant |
L |
4.7927631258178 |
L(r)(E,1)/r! |
Ω |
0.19726509702184 |
Real period |
R |
0.50616775747603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6762y2 2898j2 |
Quadratic twists by: -3 -7 |