Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840br |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
325061100000000 = 28 · 36 · 58 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18156,-372456] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:438:1] |
Generators of the group modulo torsion |
j |
2585640781499344/1269769921875 |
j-invariant |
L |
5.1684174829803 |
L(r)(E,1)/r! |
Ω |
0.43235932668115 |
Real period |
R |
3.9846621116852 |
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 |
5460a2 87360fe2 65520dn2 109200eb2 |
Quadratic twists by: -4 8 -3 5 |