Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9360b |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-327525120 = -1 · 28 · 39 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -5 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,972] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] |
Generators of the group modulo torsion |
j |
-27648/65 |
j-invariant |
L |
3.3317297444485 |
L(r)(E,1)/r! |
Ω |
1.5185130734034 |
Real period |
R |
1.0970368983987 |
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 |
4680a1 37440dp1 9360f1 46800j1 |
Quadratic twists by: -4 8 -3 5 |