Atkin-Lehner |
3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
68355bi |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1277952 |
Modular degree for the optimal curve |
Δ |
-3448611725245773975 = -1 · 38 · 52 · 714 · 31 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-288864,107560795] |
[a1,a2,a3,a4,a6] |
Generators |
[1634:62399:1] |
Generators of the group modulo torsion |
j |
-31080575499121/40209486975 |
j-invariant |
L |
5.8090308447305 |
L(r)(E,1)/r! |
Ω |
0.22616421414238 |
Real period |
R |
6.4212533210817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22785c1 9765i1 |
Quadratic twists by: -3 -7 |