Atkin-Lehner |
2- 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950br |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
-275262500000 = -1 · 25 · 58 · 192 · 61 |
Discriminant |
Eigenvalues |
2- 1 5- -1 2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4513,119017] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:499:1] |
Generators of the group modulo torsion |
j |
-26023499185/704672 |
j-invariant |
L |
11.995121126799 |
L(r)(E,1)/r! |
Ω |
0.97523426266592 |
Real period |
R |
0.40999110285348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57950a1 |
Quadratic twists by: 5 |