Atkin-Lehner |
2- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
43700h |
Isogeny class |
Conductor |
43700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-2075750000 = -1 · 24 · 56 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -6 3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2258,40613] |
[a1,a2,a3,a4,a6] |
Generators |
[29:19:1] |
Generators of the group modulo torsion |
j |
-5095042816/8303 |
j-invariant |
L |
6.9431123430392 |
L(r)(E,1)/r! |
Ω |
1.4689512735727 |
Real period |
R |
1.1816444268703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1748a1 |
Quadratic twists by: 5 |