Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960bx |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2626560 |
Modular degree for the optimal curve |
Δ |
1.1552975009372E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2551548,1560203012] |
[a1,a2,a3,a4,a6] |
Generators |
[704:10622:1] |
Generators of the group modulo torsion |
j |
579613696/3645 |
j-invariant |
L |
5.4153405205909 |
L(r)(E,1)/r! |
Ω |
0.22769436014145 |
Real period |
R |
5.9458438884702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320e1 129960t1 |
Quadratic twists by: -3 -19 |