Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10920o |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
50381604000000 = 28 · 32 · 56 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84516,9422784] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3042:1] |
Generators of the group modulo torsion |
j |
260798860029250384/196803140625 |
j-invariant |
L |
5.1662148198443 |
L(r)(E,1)/r! |
Ω |
0.62822515136674 |
Real period |
R |
2.0558771041739 |
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 |
21840c2 87360ba2 32760p2 54600l2 |
Quadratic twists by: -4 8 -3 5 |