Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050ct |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
-2.8136644838154E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,455508,2549221416] |
[a1,a2,a3,a4,a6] |
Generators |
[-24684:3092367:64] |
Generators of the group modulo torsion |
j |
7604375/2047032 |
j-invariant |
L |
5.7863507558035 |
L(r)(E,1)/r! |
Ω |
0.11094829892836 |
Real period |
R |
2.1730657459211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350dl1 76050fa1 5850cc1 |
Quadratic twists by: -3 5 13 |