Atkin-Lehner |
2+ 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
127534f |
Isogeny class |
Conductor |
127534 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1235520 |
Modular degree for the optimal curve |
Δ |
33431040668613632 = 210 · 118 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ -2 -2 1 11- 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-162022,23496504] |
[a1,a2,a3,a4,a6] |
Generators |
[373:-4059:1] |
Generators of the group modulo torsion |
j |
2194321933177/155958272 |
j-invariant |
L |
2.184011469549 |
L(r)(E,1)/r! |
Ω |
0.36126389816209 |
Real period |
R |
1.007578978694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127534q1 |
Quadratic twists by: -11 |