Atkin-Lehner |
2+ 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12642s |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
181269784313856 = 214 · 37 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-93910,-11065624] |
[a1,a2,a3,a4,a6] |
j |
778510269523657/1540767744 |
j-invariant |
L |
1.9092896776897 |
L(r)(E,1)/r! |
Ω |
0.27275566824138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101136bd1 37926by1 258b1 |
Quadratic twists by: -4 -3 -7 |