Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208bs |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
129420797054976 = 212 · 33 · 79 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91352,10643760] |
[a1,a2,a3,a4,a6] |
j |
510082399/783 |
j-invariant |
L |
1.1701845757854 |
L(r)(E,1)/r! |
Ω |
0.58509228438574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4263f1 68208ct1 |
Quadratic twists by: -4 -7 |