Atkin-Lehner |
2- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71638r |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-7932497060041904 = -1 · 24 · 714 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 1 3 7- 6 3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-139259,-20467903] |
[a1,a2,a3,a4,a6] |
j |
-2538665515223713/67425112496 |
j-invariant |
L |
7.8961060876935 |
L(r)(E,1)/r! |
Ω |
0.12337665788278 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234l1 |
Quadratic twists by: -7 |