Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360n |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-674599395600000000 = -1 · 210 · 310 · 58 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-301323,-74931478] |
[a1,a2,a3,a4,a6] |
Generators |
[659:3562:1] |
Generators of the group modulo torsion |
j |
-4053153720264484/903687890625 |
j-invariant |
L |
3.4466119570407 |
L(r)(E,1)/r! |
Ω |
0.10068901401351 |
Real period |
R |
4.278783528184 |
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 |
4680q4 37440fi3 3120f4 46800v3 |
Quadratic twists by: -4 8 -3 5 |