Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18368ba |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
26425054724096 = 228 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 2 2 7- -6 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-131937,-18400255] |
[a1,a2,a3,a4,a6] |
Generators |
[-1221030:237475:5832] |
Generators of the group modulo torsion |
j |
968917714969177/100803584 |
j-invariant |
L |
8.1486376649559 |
L(r)(E,1)/r! |
Ω |
0.25050150551137 |
Real period |
R |
8.1323240436435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18368c1 4592k1 128576da1 |
Quadratic twists by: -4 8 -7 |