Atkin-Lehner |
2- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9920bf |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-3174400 = -1 · 212 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- 4 -2 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28,-64] |
[a1,a2,a3,a4,a6] |
j |
592704/775 |
j-invariant |
L |
2.6924164168804 |
L(r)(E,1)/r! |
Ω |
1.3462082084402 |
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 |
9920y1 4960d1 89280ev1 49600cb1 |
Quadratic twists by: -4 8 -3 5 |