Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650f |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
Δ |
-41178714281250 = -1 · 2 · 3 · 56 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 5 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-91862400,-338925189750] |
[a1,a2,a3,a4,a6] |
j |
-5486773802537974663600129/2635437714 |
j-invariant |
L |
1.5361218297869 |
L(r)(E,1)/r! |
Ω |
0.024382886187094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109200gm2 40950ea2 546f2 95550ee2 |
Quadratic twists by: -4 -3 5 -7 |