Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128800o |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
181248 |
Modular degree for the optimal curve |
Δ |
-16257651200 = -1 · 29 · 52 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- -5 -2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-955,-12910] |
[a1,a2,a3,a4,a6] |
Generators |
[2262:18998:27] |
Generators of the group modulo torsion |
j |
-7525300680/1270129 |
j-invariant |
L |
12.920455491793 |
L(r)(E,1)/r! |
Ω |
0.42547789308864 |
Real period |
R |
3.7958656973652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999821165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128800z1 128800bf1 |
Quadratic twists by: -4 5 |