Atkin-Lehner |
2- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20240s |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-230032343750000 = -1 · 24 · 510 · 112 · 233 |
Discriminant |
Eigenvalues |
2- 1 5- 0 11+ 3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31690,2280163] |
[a1,a2,a3,a4,a6] |
Generators |
[171:1375:1] |
Generators of the group modulo torsion |
j |
-219980483082985216/14377021484375 |
j-invariant |
L |
6.3699231453782 |
L(r)(E,1)/r! |
Ω |
0.54933029232942 |
Real period |
R |
0.57978990366312 |
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 |
5060f1 80960bp1 101200bf1 |
Quadratic twists by: -4 8 5 |