Atkin-Lehner |
2+ 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126bc |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-1500004171778112 = -1 · 26 · 37 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11+ 13+ 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62190,-6237932] |
[a1,a2,a3,a4,a6] |
j |
-6329617441/356928 |
j-invariant |
L |
3.6160198767103 |
L(r)(E,1)/r! |
Ω |
0.15066747152899 |
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 |
42042bv1 126126cj1 |
Quadratic twists by: -3 -7 |