Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360cb |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1676928614400 = -1 · 218 · 39 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,63074] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:270:1] |
Generators of the group modulo torsion |
j |
-24137569/561600 |
j-invariant |
L |
4.4129866987785 |
L(r)(E,1)/r! |
Ω |
0.70558395602436 |
Real period |
R |
0.78179688276284 |
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 |
1170g1 37440dy1 3120q1 46800dc1 |
Quadratic twists by: -4 8 -3 5 |