Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992bj |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-56895942426624 = -1 · 220 · 36 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -6 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18444,-1030160] |
[a1,a2,a3,a4,a6] |
j |
-3630961153/297724 |
j-invariant |
L |
0.81551542584016 |
L(r)(E,1)/r! |
Ω |
0.20387882918974 |
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 |
124992gv1 3906c1 13888e1 |
Quadratic twists by: -4 8 -3 |