Atkin-Lehner |
2+ 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
115632i |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
43261916341248 = 210 · 314 · 112 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24555,-1446806] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:176:1] [-85:162:1] |
Generators of the group modulo torsion |
j |
2193390926500/57953313 |
j-invariant |
L |
12.57351468422 |
L(r)(E,1)/r! |
Ω |
0.38200132889229 |
Real period |
R |
4.1143556759547 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57816b1 38544d1 |
Quadratic twists by: -4 -3 |