Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19520t |
Isogeny class |
Conductor |
19520 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
-8648666122240000000 = -1 · 217 · 57 · 615 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -6 -3 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,315892,123895568] |
[a1,a2,a3,a4,a6] |
Generators |
[-302:976:1] |
Generators of the group modulo torsion |
j |
26596817194679118/65984086015625 |
j-invariant |
L |
4.7034026301566 |
L(r)(E,1)/r! |
Ω |
0.16204660257532 |
Real period |
R |
1.4512499970404 |
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 |
19520h1 4880c1 97600ce1 |
Quadratic twists by: -4 8 5 |