Atkin-Lehner |
2- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120400cj |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1193101918750000 = -1 · 24 · 58 · 74 · 433 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 5 3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,1661875] |
[a1,a2,a3,a4,a6] |
Generators |
[-750:7525:8] |
Generators of the group modulo torsion |
j |
-2211840/190896307 |
j-invariant |
L |
8.0297322882286 |
L(r)(E,1)/r! |
Ω |
0.38792079179989 |
Real period |
R |
0.57498366232095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30100i1 120400w1 |
Quadratic twists by: -4 5 |