Atkin-Lehner |
2- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800v |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-92575000000 = -1 · 26 · 58 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1075,-5500] |
[a1,a2,a3,a4,a6] |
j |
137388096/92575 |
j-invariant |
L |
1.2159643693327 |
L(r)(E,1)/r! |
Ω |
0.60798172091608 |
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 |
128800k1 25760d1 |
Quadratic twists by: -4 5 |