Atkin-Lehner |
2+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
2158b |
Isogeny class |
Conductor |
2158 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-8320627360718127104 = -1 · 239 · 133 · 832 |
Discriminant |
Eigenvalues |
2+ 1 3 -1 -6 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1404247,-655471622] |
[a1,a2,a3,a4,a6] |
Generators |
[184420:2659717:125] |
Generators of the group modulo torsion |
j |
-306234264167996269810537/8320627360718127104 |
j-invariant |
L |
2.8989664676448 |
L(r)(E,1)/r! |
Ω |
0.069232909637909 |
Real period |
R |
6.9787775852229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17264d2 69056b2 19422u2 53950r2 |
Quadratic twists by: -4 8 -3 5 |