Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600f |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4386816 |
Modular degree for the optimal curve |
Δ |
-4.74351505988E+20 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 2 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5609008,-5217419488] |
[a1,a2,a3,a4,a6] |
Generators |
[463854:60184250:27] |
Generators of the group modulo torsion |
j |
-5142706/125 |
j-invariant |
L |
6.6865461215987 |
L(r)(E,1)/r! |
Ω |
0.048980611011938 |
Real period |
R |
4.2660669691803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999775865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57800t1 23120j1 115600e1 |
Quadratic twists by: -4 5 17 |