Atkin-Lehner |
2- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20240l |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-472512840335360 = -1 · 227 · 5 · 113 · 232 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11+ -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10064,967616] |
[a1,a2,a3,a4,a6] |
Generators |
[8:1024:1] |
Generators of the group modulo torsion |
j |
27518990257871/115359580160 |
j-invariant |
L |
3.3005797963774 |
L(r)(E,1)/r! |
Ω |
0.37555389164383 |
Real period |
R |
1.0985706278833 |
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 |
2530h1 80960cf1 101200r1 |
Quadratic twists by: -4 8 5 |