Atkin-Lehner |
2+ 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126bb |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
12718080 |
Modular degree for the optimal curve |
Δ |
-3.6257410681897E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 13- 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45914136,119759683392] |
[a1,a2,a3,a4,a6] |
j |
-3369853043629824680811/11414181695488 |
j-invariant |
L |
2.8804497480709 |
L(r)(E,1)/r! |
Ω |
0.18002825396167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126dz1 2574b1 |
Quadratic twists by: -3 -7 |