Atkin-Lehner |
3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63063a |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
6758020269 = 39 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
1 3+ 1 7+ 11+ 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-744,-6553] |
[a1,a2,a3,a4,a6] |
Generators |
[58:349:1] |
Generators of the group modulo torsion |
j |
964467/143 |
j-invariant |
L |
7.4550906149744 |
L(r)(E,1)/r! |
Ω |
0.92313832142316 |
Real period |
R |
1.3459685007942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63063c1 63063f1 |
Quadratic twists by: -3 -7 |