Atkin-Lehner |
2+ 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126bm |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-312370714656 = -1 · 25 · 37 · 74 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11- 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9711,-366899] |
[a1,a2,a3,a4,a6] |
j |
-57865677457/178464 |
j-invariant |
L |
1.9233620569258 |
L(r)(E,1)/r! |
Ω |
0.2404203726281 |
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 |
42042bu1 126126cp1 |
Quadratic twists by: -3 -7 |