Atkin-Lehner |
2+ 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
42210d |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-3970209116160 = -1 · 212 · 310 · 5 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1350,-94284] |
[a1,a2,a3,a4,a6] |
j |
373092501599/5446103040 |
j-invariant |
L |
1.5319294936 |
L(r)(E,1)/r! |
Ω |
0.38298237339252 |
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 |
14070l1 |
Quadratic twists by: -3 |