Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3825m |
Isogeny class |
Conductor |
3825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-99991177734375 = -1 · 311 · 59 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -6 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-680,481322] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:703:1] |
Generators of the group modulo torsion |
j |
-24389/70227 |
j-invariant |
L |
1.845219393486 |
L(r)(E,1)/r! |
Ω |
0.48060146188407 |
Real period |
R |
0.95984903284124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200gw1 1275g1 3825o1 65025cg1 |
Quadratic twists by: -4 -3 5 17 |