Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208dc |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-5004270819459072 = -1 · 214 · 32 · 79 · 292 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -4 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35264,-2243788] |
[a1,a2,a3,a4,a6] |
Generators |
[5916:108170:27] |
Generators of the group modulo torsion |
j |
10063705679/10384668 |
j-invariant |
L |
10.610544741913 |
L(r)(E,1)/r! |
Ω |
0.23432227776956 |
Real period |
R |
5.6602304542146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526v1 9744n1 |
Quadratic twists by: -4 -7 |