Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400hw |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-8682209280000000000 = -1 · 232 · 32 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,274367,130620863] |
[a1,a2,a3,a4,a6] |
Generators |
[888178137:-151353663488:12326391] |
Generators of the group modulo torsion |
j |
557644990391/2119680000 |
j-invariant |
L |
8.656357302917 |
L(r)(E,1)/r! |
Ω |
0.16506613220243 |
Real period |
R |
13.110438200958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400bf1 27600bj1 22080cj1 |
Quadratic twists by: -4 8 5 |