Atkin-Lehner |
2+ 3- 7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426j |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-23933641536 = -1 · 26 · 36 · 72 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 5 -5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,651,-3979] |
[a1,a2,a3,a4,a6] |
Generators |
[11:61:1] |
Generators of the group modulo torsion |
j |
41818056111/32830784 |
j-invariant |
L |
5.2381724734284 |
L(r)(E,1)/r! |
Ω |
0.66691851121922 |
Real period |
R |
0.98178645226874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7714d1 |
Quadratic twists by: -3 |