Atkin-Lehner |
3+ 7- 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
43239b |
Isogeny class |
Conductor |
43239 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
-194706643887 = -1 · 38 · 7 · 292 · 712 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,271,-21048] |
[a1,a2,a3,a4,a6] |
Generators |
[986020:10544941:8000] |
Generators of the group modulo torsion |
j |
2188392266087/194706643887 |
j-invariant |
L |
6.7561236391978 |
L(r)(E,1)/r! |
Ω |
0.47827259962314 |
Real period |
R |
7.0630469365423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129717d1 |
Quadratic twists by: -3 |