Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960bz |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
239016960 |
Modular degree for the optimal curve |
Δ |
3.2629013768736E+30 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 5 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8956015788,-314438041208252] |
[a1,a2,a3,a4,a6] |
Generators |
[-88543134437952791573288543116714529816905055664108432:4542534710394083596420790813635731575161062984510235478:1509179123544042596757938984755543422608268327163] |
Generators of the group modulo torsion |
j |
25065245484338062336/1029455660473245 |
j-invariant |
L |
5.2369196216259 |
L(r)(E,1)/r! |
Ω |
0.015558582299686 |
Real period |
R |
84.148406338599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320n1 129960w1 |
Quadratic twists by: -3 -19 |