Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3542g |
Isogeny class |
Conductor |
3542 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
964051690355138 = 2 · 76 · 114 · 234 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-152390,-22912054] |
[a1,a2,a3,a4,a6] |
Generators |
[-233:232:1] |
Generators of the group modulo torsion |
j |
391379047744832043625/964051690355138 |
j-invariant |
L |
3.6532231833172 |
L(r)(E,1)/r! |
Ω |
0.24167089606499 |
Real period |
R |
1.2597100860443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28336s2 113344bc2 31878bk2 88550br2 |
Quadratic twists by: -4 8 -3 5 |