Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400ie |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
33546240 |
Modular degree for the optimal curve |
Δ |
-3.43775896875E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 0 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,76693867,-112875842637] |
[a1,a2,a3,a4,a6] |
Generators |
[48838:10959975:1] |
Generators of the group modulo torsion |
j |
194879272239195815936/134287459716796875 |
j-invariant |
L |
6.9244978766552 |
L(r)(E,1)/r! |
Ω |
0.037002094488879 |
Real period |
R |
6.6834999280687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400bo1 27600bo1 22080cl1 |
Quadratic twists by: -4 8 5 |