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 |
129331481760000 = 28 · 314 · 54 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-315903,-68338402] |
[a1,a2,a3,a4,a6] |
Generators |
[18446:2504086:1] |
Generators of the group modulo torsion |
j |
18681746265374416/693005625 |
j-invariant |
L |
3.4466119570407 |
L(r)(E,1)/r! |
Ω |
0.20137802802702 |
Real period |
R |
8.557567056368 |
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 |
4680q2 37440fi2 3120f2 46800v2 |
Quadratic twists by: -4 8 -3 5 |