Atkin-Lehner |
2+ 3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158y |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
25069824 |
Modular degree for the optimal curve |
Δ |
-5.9128088251912E+25 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-300784653,2041726210533] |
[a1,a2,a3,a4,a6] |
Generators |
[48711:10122960:1] |
Generators of the group modulo torsion |
j |
-4128223528775369483123266513/81108488685750967074816 |
j-invariant |
L |
6.111606294871 |
L(r)(E,1)/r! |
Ω |
0.062540330161916 |
Real period |
R |
4.0717767499734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386bb1 |
Quadratic twists by: -3 |