Atkin-Lehner |
3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063g |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
476630894801061 = 39 · 72 · 113 · 135 |
Discriminant |
Eigenvalues |
1 3+ 3 7- 11+ 13- -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19833,-224092] |
[a1,a2,a3,a4,a6] |
Generators |
[916:26920:1] |
Generators of the group modulo torsion |
j |
894569099571/494190983 |
j-invariant |
L |
9.3259017318745 |
L(r)(E,1)/r! |
Ω |
0.43070058470151 |
Real period |
R |
2.1652865267659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63063l1 63063b1 |
Quadratic twists by: -3 -7 |