Atkin-Lehner |
2+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67240d |
Isogeny class |
Conductor |
67240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
2.0952443801214E+20 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -4 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38506667,91968595926] |
[a1,a2,a3,a4,a6] |
j |
1298160537477444/43075625 |
j-invariant |
L |
0.66444767346413 |
L(r)(E,1)/r! |
Ω |
0.16611191688295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1640a1 |
Quadratic twists by: 41 |