Atkin-Lehner |
3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
68355bk |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
8773632 |
Modular degree for the optimal curve |
Δ |
-4.4017692258224E+23 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 1 1 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14979447,-38947086880] |
[a1,a2,a3,a4,a6] |
Generators |
[187761:11867174:27] |
Generators of the group modulo torsion |
j |
-4334063657515831296/5132293701171875 |
j-invariant |
L |
3.605790770891 |
L(r)(E,1)/r! |
Ω |
0.036701364578593 |
Real period |
R |
1.4448055400011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7595f1 9765c1 |
Quadratic twists by: -3 -7 |