Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200bs |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
850518016000 = 216 · 53 · 473 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 1 -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5473,147583] |
[a1,a2,a3,a4,a6] |
Generators |
[18:235:1] |
Generators of the group modulo torsion |
j |
2213550644/103823 |
j-invariant |
L |
7.152025801926 |
L(r)(E,1)/r! |
Ω |
0.87989093257628 |
Real period |
R |
0.67735912255913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200dh1 9400e1 75200bh1 |
Quadratic twists by: -4 8 5 |