Atkin-Lehner |
2- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89908b |
Isogeny class |
Conductor |
89908 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-71900146864 = -1 · 24 · 72 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,676,10985] |
[a1,a2,a3,a4,a6] |
j |
442368/931 |
j-invariant |
L |
2.272456833913 |
L(r)(E,1)/r! |
Ω |
0.75748561130423 |
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 |
532a1 |
Quadratic twists by: 13 |