Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208d |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2246375263168512 = 211 · 38 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51368,3874704] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:686:1] [40:1372:1] |
Generators of the group modulo torsion |
j |
62214547250/9323181 |
j-invariant |
L |
8.9186514117708 |
L(r)(E,1)/r! |
Ω |
0.4425867443078 |
Real period |
R |
2.5188992684754 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34104n2 9744d2 |
Quadratic twists by: -4 -7 |