Atkin-Lehner |
2- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
128122i |
Isogeny class |
Conductor |
128122 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
50880 |
Modular degree for the optimal curve |
Δ |
-59448608 = -1 · 25 · 292 · 472 |
Discriminant |
Eigenvalues |
2- -3 0 2 0 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15,375] |
[a1,a2,a3,a4,a6] |
Generators |
[15:50:1] |
Generators of the group modulo torsion |
j |
-158625/26912 |
j-invariant |
L |
7.5759342326117 |
L(r)(E,1)/r! |
Ω |
1.6149794191081 |
Real period |
R |
0.46910406470472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000176125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128122m1 |
Quadratic twists by: -47 |