Atkin-Lehner |
2+ 3- 13+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582g |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
124928 |
Modular degree for the optimal curve |
Δ |
-721874007504 = -1 · 24 · 37 · 13 · 174 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -4 13+ 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1980,-23328] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-324:1] |
Generators of the group modulo torsion |
j |
1177249106879/990224976 |
j-invariant |
L |
2.2946820145272 |
L(r)(E,1)/r! |
Ω |
0.49846998139343 |
Real period |
R |
0.28771567267351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25194w1 |
Quadratic twists by: -3 |