Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
118188ba |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-7237360368 = -1 · 24 · 39 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -5 -1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,483,245] |
[a1,a2,a3,a4,a6] |
Generators |
[1:27:1] [7:63:1] |
Generators of the group modulo torsion |
j |
3114752/1809 |
j-invariant |
L |
8.3994434845563 |
L(r)(E,1)/r! |
Ω |
0.79704048769332 |
Real period |
R |
0.43909540004789 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39396c1 118188y1 |
Quadratic twists by: -3 -7 |