Atkin-Lehner |
3- 5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
11715i |
Isogeny class |
Conductor |
11715 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
Δ |
-39227347063066635 = -1 · 33 · 5 · 115 · 715 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 11- 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-650090,-202189354] |
[a1,a2,a3,a4,a6] |
Generators |
[9448:914941:1] |
Generators of the group modulo torsion |
j |
-30383992267365386285056/39227347063066635 |
j-invariant |
L |
3.0047327177053 |
L(r)(E,1)/r! |
Ω |
0.084060606199751 |
Real period |
R |
0.47659783475195 |
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 |
35145c2 58575i2 128865r2 |
Quadratic twists by: -3 5 -11 |