Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200es |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
487312588800 = 219 · 37 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2955,-51910] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:18:1] |
Generators of the group modulo torsion |
j |
38226865/6528 |
j-invariant |
L |
5.3413089187618 |
L(r)(E,1)/r! |
Ω |
0.6550710862918 |
Real period |
R |
2.0384462963071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650bu1 20400ce1 61200hg1 |
Quadratic twists by: -4 -3 5 |