Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360bb |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-388752998400 = -1 · 218 · 33 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1557,18458] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:130:1] |
Generators of the group modulo torsion |
j |
3774555693/3515200 |
j-invariant |
L |
4.7218295179169 |
L(r)(E,1)/r! |
Ω |
0.62193229650575 |
Real period |
R |
0.63268268165279 |
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 |
1170i1 37440dk1 9360bh3 46800cb1 |
Quadratic twists by: -4 8 -3 5 |