Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208bj |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
42535600128 = 214 · 32 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2592,50688] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:174:1] |
Generators of the group modulo torsion |
j |
1371330631/30276 |
j-invariant |
L |
6.9351350312673 |
L(r)(E,1)/r! |
Ω |
1.1413996718677 |
Real period |
R |
1.5189979466225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998514 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526x2 68208cl2 |
Quadratic twists by: -4 -7 |