Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12880i |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1327155200 = 211 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 2 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1120,-14700] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:10:1] |
Generators of the group modulo torsion |
j |
75933869762/648025 |
j-invariant |
L |
3.415797937159 |
L(r)(E,1)/r! |
Ω |
0.8256316431648 |
Real period |
R |
1.0342983960939 |
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 |
6440j2 51520bt2 115920bb2 64400k2 |
Quadratic twists by: -4 8 -3 5 |