Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6240h |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
97344000 = 29 · 32 · 53 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1320,18900] |
[a1,a2,a3,a4,a6] |
Generators |
[20:10:1] |
Generators of the group modulo torsion |
j |
497169541448/190125 |
j-invariant |
L |
4.0652212499047 |
L(r)(E,1)/r! |
Ω |
1.862642934602 |
Real period |
R |
0.36375027247447 |
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 |
6240s2 12480cl2 18720bg2 31200bw2 |
Quadratic twists by: -4 8 -3 5 |