Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68355j |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
1.0352298629616E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -3 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1627878,632023033] |
[a1,a2,a3,a4,a6] |
Generators |
[401:6612:1] |
Generators of the group modulo torsion |
j |
2316761595904/502723125 |
j-invariant |
L |
3.8107664593868 |
L(r)(E,1)/r! |
Ω |
0.17810998413242 |
Real period |
R |
5.3488950643988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22785f1 68355t1 |
Quadratic twists by: -3 -7 |