Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090w |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16220160 |
Modular degree for the optimal curve |
Δ |
1.025043129772E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-116487134,-483919968304] |
[a1,a2,a3,a4,a6] |
Generators |
[12061332590129526194232531617091372088489167593:-1578315778782052190610561898935461502641042329839:524892687301903513613866776370866698899957] |
Generators of the group modulo torsion |
j |
1180838681727016392361/692428800000 |
j-invariant |
L |
6.2881546199388 |
L(r)(E,1)/r! |
Ω |
0.045954715348729 |
Real period |
R |
68.416859872761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999664856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830q1 |
Quadratic twists by: -23 |