Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600r |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
3635200000000 = 217 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 -6 1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4300,-58000] |
[a1,a2,a3,a4,a6] |
Generators |
[-465:2825:27] |
Generators of the group modulo torsion |
j |
4293378/1775 |
j-invariant |
L |
11.526254100462 |
L(r)(E,1)/r! |
Ω |
0.61145980156114 |
Real period |
R |
4.7125968119349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600co1 14200b1 22720q1 |
Quadratic twists by: -4 8 5 |