Atkin-Lehner |
2- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127300a |
Isogeny class |
Conductor |
127300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-18896093750000 = -1 · 24 · 511 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 2 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5342,-143687] |
[a1,a2,a3,a4,a6] |
Generators |
[48:475:1] [588:14375:1] |
Generators of the group modulo torsion |
j |
67423928576/75584375 |
j-invariant |
L |
13.507595981152 |
L(r)(E,1)/r! |
Ω |
0.37071993507387 |
Real period |
R |
1.5181716602607 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25460a1 |
Quadratic twists by: 5 |