Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200en |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-123200 = -1 · 26 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11- -6 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-22] |
[a1,a2,a3,a4,a6] |
Generators |
[445:338:125] |
Generators of the group modulo torsion |
j |
-40000/77 |
j-invariant |
L |
6.6010070532948 |
L(r)(E,1)/r! |
Ω |
1.3220219921722 |
Real period |
R |
4.9931143671711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200fl1 61600bc1 123200hr1 |
Quadratic twists by: -4 8 5 |