Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650bo |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-1315012608000 = -1 · 218 · 32 · 53 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2096,-66562] |
[a1,a2,a3,a4,a6] |
j |
-8141222941613/10520100864 |
j-invariant |
L |
2.0193546876725 |
L(r)(E,1)/r! |
Ω |
0.33655911461209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200ei1 40950fj1 13650cb1 95550cp1 |
Quadratic twists by: -4 -3 5 -7 |