Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111188m |
Isogeny class |
Conductor |
111188 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
919296 |
Modular degree for the optimal curve |
Δ |
78945307491749776 = 24 · 74 · 112 · 198 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11+ -3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-139466,14849989] |
[a1,a2,a3,a4,a6] |
Generators |
[963:-27797:1] |
Generators of the group modulo torsion |
j |
1104035584/290521 |
j-invariant |
L |
2.8792308456002 |
L(r)(E,1)/r! |
Ω |
0.32079734269815 |
Real period |
R |
0.37396803599334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999749351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111188n1 |
Quadratic twists by: -19 |