Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168ce |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-50074755268608 = -1 · 228 · 34 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3073,-345695] |
[a1,a2,a3,a4,a6] |
Generators |
[103:648:1] |
Generators of the group modulo torsion |
j |
-12246522625/191020032 |
j-invariant |
L |
3.523355784699 |
L(r)(E,1)/r! |
Ω |
0.2718390445827 |
Real period |
R |
3.2402959168638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168bk1 15792bc1 |
Quadratic twists by: -4 8 |