Atkin-Lehner |
2+ 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050b |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
14829176250000 = 24 · 34 · 57 · 74 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14500,640000] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:940:1] [-100:1100:1] |
Generators of the group modulo torsion |
j |
21580151584321/949067280 |
j-invariant |
L |
6.3020308807426 |
L(r)(E,1)/r! |
Ω |
0.6941794848642 |
Real period |
R |
1.134798531598 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810w1 |
Quadratic twists by: 5 |