Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5040bd |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2903585771520 = -1 · 212 · 310 · 5 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2517,-66022] |
[a1,a2,a3,a4,a6] |
Generators |
[71:686:1] |
Generators of the group modulo torsion |
j |
590589719/972405 |
j-invariant |
L |
3.4066532440993 |
L(r)(E,1)/r! |
Ω |
0.42315830373267 |
Real period |
R |
2.0126352325177 |
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 |
315b4 20160eo4 1680n4 25200ei3 |
Quadratic twists by: -4 8 -3 5 |