Atkin-Lehner |
3+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38775a |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-1768297155075 = -1 · 37 · 52 · 114 · 472 |
Discriminant |
Eigenvalues |
2 3+ 5+ -5 11+ -7 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18048,-929437] |
[a1,a2,a3,a4,a6] |
Generators |
[3616180:72909027:8000] |
Generators of the group modulo torsion |
j |
-26007284793118720/70731886203 |
j-invariant |
L |
6.5399062545944 |
L(r)(E,1)/r! |
Ω |
0.20591573574218 |
Real period |
R |
7.9400273017293 |
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 |
116325bc1 38775r1 |
Quadratic twists by: -3 5 |