Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
130a |
Isogeny class |
Conductor |
130 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-10562500 = -1 · 22 · 56 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -6 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13,156] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:12:1] |
Generators of the group modulo torsion |
j |
-217081801/10562500 |
j-invariant |
L |
0.73821739879204 |
L(r)(E,1)/r! |
Ω |
1.8921144996833 |
Real period |
R |
0.58523207679736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
1040g2 4160b2 1170l2 650j2 |
Quadratic twists by: -4 8 -3 5 |