Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050dj |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
61931520 |
Modular degree for the optimal curve |
Δ |
-2.2576059542931E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,639041020,-3687647307353] |
[a1,a2,a3,a4,a6] |
j |
19441890357117957/15208161280000 |
j-invariant |
L |
2.713766237974 |
L(r)(E,1)/r! |
Ω |
0.021201298704558 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76050f1 15210c1 5850e1 |
Quadratic twists by: -3 5 13 |