Atkin-Lehner |
2+ 3+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
51792a |
Isogeny class |
Conductor |
51792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-3699251472384 = -1 · 211 · 35 · 13 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 -3 13+ -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2824,110032] |
[a1,a2,a3,a4,a6] |
Generators |
[9:292:1] |
Generators of the group modulo torsion |
j |
-1216582639634/1806275133 |
j-invariant |
L |
6.0266294286151 |
L(r)(E,1)/r! |
Ω |
0.70785287337998 |
Real period |
R |
4.2569788547713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25896d1 |
Quadratic twists by: -4 |