Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160bu |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
627056640000 = 216 · 37 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16428,-809552] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:4:1] |
Generators of the group modulo torsion |
j |
10262905636/13125 |
j-invariant |
L |
4.5530882050031 |
L(r)(E,1)/r! |
Ω |
0.42173217210918 |
Real period |
R |
2.6990401172337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160dv4 2520j3 6720bd4 100800ec4 |
Quadratic twists by: -4 8 -3 5 |