Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360n |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
163181509966800 = 24 · 322 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20658,-963493] |
[a1,a2,a3,a4,a6] |
Generators |
[-862:855:8] |
Generators of the group modulo torsion |
j |
83587439220736/13990184325 |
j-invariant |
L |
3.4466119570407 |
L(r)(E,1)/r! |
Ω |
0.40275605605404 |
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 |
4680q1 37440fi1 3120f1 46800v1 |
Quadratic twists by: -4 8 -3 5 |