Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
28320i |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-20390400000 = -1 · 212 · 33 · 55 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 4 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,575,4177] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-100:1] |
Generators of the group modulo torsion |
j |
5124031424/4978125 |
j-invariant |
L |
5.4407870796917 |
L(r)(E,1)/r! |
Ω |
0.79825434496319 |
Real period |
R |
0.34079282587197 |
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 |
28320o1 56640cp1 84960bd1 |
Quadratic twists by: -4 8 -3 |