Atkin-Lehner |
3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
116487m |
Isogeny class |
Conductor |
116487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-290321240751423 = -1 · 38 · 7 · 436 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16294,-180480] |
[a1,a2,a3,a4,a6] |
Generators |
[54:897:1] [194348:4639557:343] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
6.5792344256769 |
L(r)(E,1)/r! |
Ω |
0.3177479740254 |
Real period |
R |
10.352913259233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983474 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38829f1 63a1 |
Quadratic twists by: -3 -43 |