Atkin-Lehner |
3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063f |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
795074326627581 = 39 · 710 · 11 · 13 |
Discriminant |
Eigenvalues |
1 3+ -1 7- 11+ 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36465,2320604] |
[a1,a2,a3,a4,a6] |
Generators |
[430:5519:8] |
Generators of the group modulo torsion |
j |
964467/143 |
j-invariant |
L |
6.221656237666 |
L(r)(E,1)/r! |
Ω |
0.48278841765315 |
Real period |
R |
6.4434605407274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63063k1 63063a1 |
Quadratic twists by: -3 -7 |