Atkin-Lehner |
2- 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550dn |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13547520 |
Modular degree for the optimal curve |
Δ |
-6.9347537230191E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 -1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-144481430,-668409738803] |
[a1,a2,a3,a4,a6] |
j |
-43381890754189517115/9019442936 |
j-invariant |
L |
4.1803986071627 |
L(r)(E,1)/r! |
Ω |
0.02177291343886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550u1 116550d1 |
Quadratic twists by: -3 5 |