Atkin-Lehner |
5- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
3905b |
Isogeny class |
Conductor |
3905 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
-277255 = -1 · 5 · 11 · 712 |
Discriminant |
Eigenvalues |
1 2 5- 0 11+ 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22,39] |
[a1,a2,a3,a4,a6] |
Generators |
[138:191:27] |
Generators of the group modulo torsion |
j |
-1263214441/277255 |
j-invariant |
L |
5.956510331246 |
L(r)(E,1)/r! |
Ω |
2.9540844695314 |
Real period |
R |
4.0327285104281 |
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 |
62480o1 35145g1 19525b1 42955l1 |
Quadratic twists by: -4 -3 5 -11 |