Atkin-Lehner |
2- 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
77376br |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-38836466592768 = -1 · 210 · 35 · 132 · 314 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -6 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16333,852131] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:1116:1] |
Generators of the group modulo torsion |
j |
-470596000000000/37926236907 |
j-invariant |
L |
5.1420928646382 |
L(r)(E,1)/r! |
Ω |
0.63446262500921 |
Real period |
R |
0.40523213377916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77376h1 19344c1 |
Quadratic twists by: -4 8 |