Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200dl |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
6016000000000 = 216 · 59 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- 5 -5 -1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124833,17017537] |
[a1,a2,a3,a4,a6] |
Generators |
[117:2000:1] |
Generators of the group modulo torsion |
j |
1680758996/47 |
j-invariant |
L |
5.2465793541378 |
L(r)(E,1)/r! |
Ω |
0.70306562174766 |
Real period |
R |
0.9328039928374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200bw1 18800j1 75200dv1 |
Quadratic twists by: -4 8 5 |