Atkin-Lehner |
3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119925be |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6414336 |
Modular degree for the optimal curve |
Δ |
5.1825781988525E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54551480,155094009522] |
[a1,a2,a3,a4,a6] |
Generators |
[4250:-609:1] |
Generators of the group modulo torsion |
j |
1576143528848064470449/4549862890625 |
j-invariant |
L |
3.4507421129725 |
L(r)(E,1)/r! |
Ω |
0.17384858815465 |
Real period |
R |
4.9622807662966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000266557 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13325d1 23985j1 |
Quadratic twists by: -3 5 |