Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12880n |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
51701350400 = 218 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2416,-43584] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1494:1] |
Generators of the group modulo torsion |
j |
380920459249/12622400 |
j-invariant |
L |
6.0292449201962 |
L(r)(E,1)/r! |
Ω |
0.68232692671646 |
Real period |
R |
4.4181496318858 |
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 |
1610d1 51520cc1 115920dx1 64400bt1 |
Quadratic twists by: -4 8 -3 5 |