Atkin-Lehner |
2+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51376g |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-1624303616 = -1 · 211 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ -1 1 -1 -2 13- -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160,2144] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:38:1] [-4:52:1] |
Generators of the group modulo torsion |
j |
-101306/361 |
j-invariant |
L |
8.1766280433003 |
L(r)(E,1)/r! |
Ω |
1.3127239746739 |
Real period |
R |
0.38929680768066 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25688j1 51376j1 |
Quadratic twists by: -4 13 |