Atkin-Lehner |
2+ 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752r |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
643200 |
Modular degree for the optimal curve |
Δ |
-931841301620736 = -1 · 211 · 36 · 135 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -3 -5 6 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5901,-1458286] |
[a1,a2,a3,a4,a6] |
Generators |
[575:13858:1] |
Generators of the group modulo torsion |
j |
15220996126/624143533 |
j-invariant |
L |
4.0327741991736 |
L(r)(E,1)/r! |
Ω |
0.23851204766371 |
Real period |
R |
0.84540262006558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973502 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38376j1 8528b1 |
Quadratic twists by: -4 -3 |