Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12880r |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-3716034560 = -1 · 212 · 5 · 73 · 232 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 1 7 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-208,-3152] |
[a1,a2,a3,a4,a6] |
Generators |
[33:161:1] |
Generators of the group modulo torsion |
j |
-242970624/907235 |
j-invariant |
L |
3.145472536099 |
L(r)(E,1)/r! |
Ω |
0.57540694224781 |
Real period |
R |
0.91108637069137 |
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 |
805d1 51520cj1 115920fb1 64400bm1 |
Quadratic twists by: -4 8 -3 5 |