Atkin-Lehner |
2- 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126dl |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
11031369711538176 = 212 · 33 · 78 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56531,1122419] |
[a1,a2,a3,a4,a6] |
j |
128359621971/70873088 |
j-invariant |
L |
8.423478388062 |
L(r)(E,1)/r! |
Ω |
0.35097830806875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126126a2 126126ec1 |
Quadratic twists by: -3 -7 |