Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200do |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
96256000000000 = 220 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 3 5- -3 -5 -1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11500,50000] |
[a1,a2,a3,a4,a6] |
Generators |
[-2850:8000:27] |
Generators of the group modulo torsion |
j |
328509/188 |
j-invariant |
L |
9.8574919023121 |
L(r)(E,1)/r! |
Ω |
0.51386153719453 |
Real period |
R |
2.3978959276705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200cb1 18800bm1 75200ef1 |
Quadratic twists by: -4 8 5 |