Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18216p |
Isogeny class |
Conductor |
18216 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-850413342222576 = -1 · 24 · 315 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11- -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3312039,-2320018009] |
[a1,a2,a3,a4,a6] |
Generators |
[2665:88209:1] |
Generators of the group modulo torsion |
j |
-344478821986234930432/72909237159 |
j-invariant |
L |
3.1912530126244 |
L(r)(E,1)/r! |
Ω |
0.055955875213011 |
Real period |
R |
1.4257899641798 |
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 |
36432j1 6072b1 |
Quadratic twists by: -4 -3 |