Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168df |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-80210075516928 = -1 · 216 · 312 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -2 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4705,446879] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:576:1] [-43:756:1] |
Generators of the group modulo torsion |
j |
-175798419556/1223908623 |
j-invariant |
L |
9.0711663205609 |
L(r)(E,1)/r! |
Ω |
0.52410588923323 |
Real period |
R |
0.72116202301896 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168u1 15792c1 |
Quadratic twists by: -4 8 |