Atkin-Lehner |
2+ 5- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
48280a |
Isogeny class |
Conductor |
48280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2535827344952320 = -1 · 210 · 5 · 178 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20267,-2665194] |
[a1,a2,a3,a4,a6] |
Generators |
[1089371639678344102158:27249561065569944792900:1644649106640220603] |
Generators of the group modulo torsion |
j |
-899067208409604/2476393891555 |
j-invariant |
L |
6.4218021900431 |
L(r)(E,1)/r! |
Ω |
0.18560674737546 |
Real period |
R |
34.598969492463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96560d3 |
Quadratic twists by: -4 |