Atkin-Lehner |
2- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48950z |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-31328000 = -1 · 28 · 53 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11+ -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,75,77] |
[a1,a2,a3,a4,a6] |
Generators |
[3:16:1] |
Generators of the group modulo torsion |
j |
377933067/250624 |
j-invariant |
L |
6.9790990765953 |
L(r)(E,1)/r! |
Ω |
1.3072568765002 |
Real period |
R |
1.334683948125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48950o1 |
Quadratic twists by: 5 |