Atkin-Lehner |
2- 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22512j |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-30021643008 = -1 · 28 · 36 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -2 -4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,755,2161] |
[a1,a2,a3,a4,a6] |
Generators |
[1:54:1] [9:98:1] |
Generators of the group modulo torsion |
j |
185673211904/117272043 |
j-invariant |
L |
5.10651280272 |
L(r)(E,1)/r! |
Ω |
0.73053818117605 |
Real period |
R |
0.87375871212178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5628f1 90048bx1 67536bo1 |
Quadratic twists by: -4 8 -3 |