Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840cn |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5936434790400 = 214 · 38 · 52 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5187,83266] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:270:1] [-63:400:1] |
Generators of the group modulo torsion |
j |
5168743489/1988100 |
j-invariant |
L |
8.2020196490095 |
L(r)(E,1)/r! |
Ω |
0.68991311021566 |
Real period |
R |
2.9721205205268 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4230n2 11280w2 |
Quadratic twists by: -4 -3 |