Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760o |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-5461026480 = -1 · 24 · 37 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,438,-439] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1764:1] |
Generators of the group modulo torsion |
j |
796706816/468195 |
j-invariant |
L |
6.2869450290802 |
L(r)(E,1)/r! |
Ω |
0.79647111789237 |
Real period |
R |
3.9467501632181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520bn1 10920k1 |
Quadratic twists by: -4 -3 |