Atkin-Lehner |
2- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75850n |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
589705306250000 = 24 · 58 · 372 · 413 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42063,3104617] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:1039:1] |
Generators of the group modulo torsion |
j |
526750629751081/37741139600 |
j-invariant |
L |
7.7526742817312 |
L(r)(E,1)/r! |
Ω |
0.50567167967623 |
Real period |
R |
1.9164298183777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170c1 |
Quadratic twists by: 5 |