Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bo |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-6293604184096768 = -1 · 222 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112449,14969887] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:5324:1] |
Generators of the group modulo torsion |
j |
-338608873/13552 |
j-invariant |
L |
2.9845642969378 |
L(r)(E,1)/r! |
Ω |
0.42038554317517 |
Real period |
R |
1.7748970828217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208cg1 1694i1 4928f1 |
Quadratic twists by: -4 8 -11 |