Atkin-Lehner |
2+ 3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
57936d |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
428544 |
Modular degree for the optimal curve |
Δ |
-4169597500532736 = -1 · 211 · 39 · 172 · 713 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 1 -6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2192,-3107724] |
[a1,a2,a3,a4,a6] |
Generators |
[598:14484:1] |
Generators of the group modulo torsion |
j |
-569001644066/2035936279557 |
j-invariant |
L |
4.0987615768426 |
L(r)(E,1)/r! |
Ω |
0.19893233584814 |
Real period |
R |
0.09538795168687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28968f1 |
Quadratic twists by: -4 |