Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600cb |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-13932000000 = -1 · 28 · 34 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,267,5337] |
[a1,a2,a3,a4,a6] |
Generators |
[57:450:1] |
Generators of the group modulo torsion |
j |
524288/3483 |
j-invariant |
L |
6.2224278089779 |
L(r)(E,1)/r! |
Ω |
0.91030037477288 |
Real period |
R |
0.85444705690615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12900i1 2064k1 |
Quadratic twists by: -4 5 |