Atkin-Lehner |
3- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
11715f |
Isogeny class |
Conductor |
11715 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3920 |
Modular degree for the optimal curve |
Δ |
-183046875 = -1 · 3 · 57 · 11 · 71 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- -2 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-71,-715] |
[a1,a2,a3,a4,a6] |
Generators |
[309:260:27] |
Generators of the group modulo torsion |
j |
-40142209024/183046875 |
j-invariant |
L |
3.801297078276 |
L(r)(E,1)/r! |
Ω |
0.74487985378057 |
Real period |
R |
5.1032351848192 |
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 |
35145l1 58575d1 128865m1 |
Quadratic twists by: -3 5 -11 |