Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425v |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-8282047675 = -1 · 52 · 117 · 17 |
Discriminant |
Eigenvalues |
-1 -2 5+ -3 11- 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,-4388] |
[a1,a2,a3,a4,a6] |
Generators |
[21:50:1] |
Generators of the group modulo torsion |
j |
-625/187 |
j-invariant |
L |
1.2800386518356 |
L(r)(E,1)/r! |
Ω |
0.58594941067985 |
Real period |
R |
1.0922774462406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51425bb1 4675a1 |
Quadratic twists by: 5 -11 |