Atkin-Lehner |
3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65559i |
Isogeny class |
Conductor |
65559 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-1.2164918097281E+19 |
Discriminant |
Eigenvalues |
2 3- 0 2 1 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,456672,118685495] |
[a1,a2,a3,a4,a6] |
Generators |
[-4668:589999:64] |
Generators of the group modulo torsion |
j |
2217342464000/2560979187 |
j-invariant |
L |
17.412567097646 |
L(r)(E,1)/r! |
Ω |
0.15036042080175 |
Real period |
R |
1.0339778796557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1599b1 |
Quadratic twists by: 41 |