Atkin-Lehner |
2- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
14740d |
Isogeny class |
Conductor |
14740 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2256 |
Modular degree for the optimal curve |
Δ |
-648560 = -1 · 24 · 5 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 1 5- -5 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30,65] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:11:1] |
Generators of the group modulo torsion |
j |
-192914176/40535 |
j-invariant |
L |
4.8912804641931 |
L(r)(E,1)/r! |
Ω |
2.7555527679578 |
Real period |
R |
0.29584387574731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58960s1 73700c1 |
Quadratic twists by: -4 5 |