Atkin-Lehner |
2+ 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560l |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
46967040 |
Modular degree for the optimal curve |
Δ |
-1.0658887621133E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-126810816,1664122719204] |
[a1,a2,a3,a4,a6] |
Generators |
[11352:1299078:1] |
Generators of the group modulo torsion |
j |
-220238200726040308133659396/1040906994251290541519265 |
j-invariant |
L |
4.7538442448207 |
L(r)(E,1)/r! |
Ω |
0.042664221207889 |
Real period |
R |
0.68780623969215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38280n1 |
Quadratic twists by: -4 |