Atkin-Lehner |
2+ 3- 5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710n |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
761856 |
Modular degree for the optimal curve |
Δ |
-1049633757133593750 = -1 · 2 · 316 · 58 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -3 -3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,243127,17357978] |
[a1,a2,a3,a4,a6] |
Generators |
[384:-13130:1] |
Generators of the group modulo torsion |
j |
1589373082933078295159/1049633757133593750 |
j-invariant |
L |
5.7975093884919 |
L(r)(E,1)/r! |
Ω |
0.17335674853992 |
Real period |
R |
0.13063535881655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130bn1 |
Quadratic twists by: -3 |