Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360ba |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-131010048000 = -1 · 212 · 39 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6048,181872] |
[a1,a2,a3,a4,a6] |
Generators |
[33:135:1] |
Generators of the group modulo torsion |
j |
-303464448/1625 |
j-invariant |
L |
4.1893212930538 |
L(r)(E,1)/r! |
Ω |
1.045801816415 |
Real period |
R |
2.0029231290757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
585b2 37440di2 9360bg1 46800by2 |
Quadratic twists by: -4 8 -3 5 |