Atkin-Lehner |
2+ 7+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12614a |
Isogeny class |
Conductor |
12614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1002964267088 = 24 · 72 · 176 · 53 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 0 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3806,-75516] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:72:1] |
Generators of the group modulo torsion |
j |
6098095874322873/1002964267088 |
j-invariant |
L |
3.530977993092 |
L(r)(E,1)/r! |
Ω |
0.61460364522617 |
Real period |
R |
2.8725651243027 |
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 |
100912q2 113526z2 88298m2 |
Quadratic twists by: -4 -3 -7 |