Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063be |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
62648611736920209 = 312 · 78 · 112 · 132 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-307166,-64332124] |
[a1,a2,a3,a4,a6] |
Generators |
[-333:1138:1] |
Generators of the group modulo torsion |
j |
37370253593737/730458729 |
j-invariant |
L |
2.2777916540477 |
L(r)(E,1)/r! |
Ω |
0.20303557437336 |
Real period |
R |
2.8046706363434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988382 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21021k2 9009l2 |
Quadratic twists by: -3 -7 |