Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050hi |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-14916455041950 = -1 · 2 · 37 · 52 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13978,-663838] |
[a1,a2,a3,a4,a6] |
j |
-6819690145/336798 |
j-invariant |
L |
6.1293974029678 |
L(r)(E,1)/r! |
Ω |
0.21890702046857 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050ce1 11550ba1 |
Quadratic twists by: 5 -11 |