Atkin-Lehner |
2- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20240m |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-5553438401843200000 = -1 · 215 · 55 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11+ 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21296,-113379904] |
[a1,a2,a3,a4,a6] |
Generators |
[5079316685579479546:2292086634544704177207:24943158948232] |
Generators of the group modulo torsion |
j |
-260782396264369/1355819922325000 |
j-invariant |
L |
7.1722488955909 |
L(r)(E,1)/r! |
Ω |
0.10936426280701 |
Real period |
R |
32.790642534881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530i1 80960ci1 101200y1 |
Quadratic twists by: -4 8 5 |