Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127072c |
Isogeny class |
Conductor |
127072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
5871742976 = 212 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ 2 -1 3 11+ 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481,-1551] |
[a1,a2,a3,a4,a6] |
Generators |
[33:132:1] |
Generators of the group modulo torsion |
j |
23104/11 |
j-invariant |
L |
10.946161149395 |
L(r)(E,1)/r! |
Ω |
1.0682020509076 |
Real period |
R |
2.5618189914439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999511588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127072h1 127072t1 |
Quadratic twists by: -4 -19 |