Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600d |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
2030625000000 = 26 · 32 · 510 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4258,83512] |
[a1,a2,a3,a4,a6] |
Generators |
[3:266:1] |
Generators of the group modulo torsion |
j |
8539701184/2030625 |
j-invariant |
L |
4.236723339914 |
L(r)(E,1)/r! |
Ω |
0.77808979409585 |
Real period |
R |
2.7225156865332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45600bv1 91200ec2 9120q1 |
Quadratic twists by: -4 8 5 |