Atkin-Lehner |
3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1305d |
Isogeny class |
Conductor |
1305 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
951345 = 38 · 5 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-248,-1438] |
[a1,a2,a3,a4,a6] |
j |
2305199161/1305 |
j-invariant |
L |
1.2034783698556 |
L(r)(E,1)/r! |
Ω |
1.2034783698556 |
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 |
20880bx1 83520df1 435c1 6525e1 |
Quadratic twists by: -4 8 -3 5 |