Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800bq |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-9505100800000000 = -1 · 216 · 58 · 135 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 -1 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27167,-4353537] |
[a1,a2,a3,a4,a6] |
j |
86614940/371293 |
j-invariant |
L |
0.41398477034744 |
L(r)(E,1)/r! |
Ω |
0.20699238517372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20800ds1 2600g1 20800bb1 |
Quadratic twists by: -4 8 5 |