Atkin-Lehner |
2- 5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950bx |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
36608 |
Modular degree for the optimal curve |
Δ |
-296704000 = -1 · 211 · 53 · 19 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- -4 -1 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-428,3472] |
[a1,a2,a3,a4,a6] |
Generators |
[12:4:1] [-8:84:1] |
Generators of the group modulo torsion |
j |
-69375867029/2373632 |
j-invariant |
L |
9.1877512194708 |
L(r)(E,1)/r! |
Ω |
1.7184869593942 |
Real period |
R |
0.24301904250549 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57950ba1 |
Quadratic twists by: 5 |