Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560n |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-263420690457600 = -1 · 210 · 36 · 52 · 132 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56163,-5182162] |
[a1,a2,a3,a4,a6] |
Generators |
[319:3060:1] |
Generators of the group modulo torsion |
j |
-26245032877444/352876225 |
j-invariant |
L |
3.9413968611079 |
L(r)(E,1)/r! |
Ω |
0.15493858014521 |
Real period |
R |
3.1798058720011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8840e2 |
Quadratic twists by: -3 |