Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208cg |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-201459520942848 = -1 · 28 · 33 · 72 · 296 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13347,-333369] |
[a1,a2,a3,a4,a6] |
Generators |
[1758:24389:27] [111:1590:1] |
Generators of the group modulo torsion |
j |
20960715776000/16060229667 |
j-invariant |
L |
12.029604064588 |
L(r)(E,1)/r! |
Ω |
0.3149036845393 |
Real period |
R |
3.1834083073778 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17052b2 68208ba2 |
Quadratic twists by: -4 -7 |