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 |
deg |
42000 |
Modular degree for the optimal curve |
Δ |
-35020301146875 = -1 · 315 · 55 · 11 · 71 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 11- 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,7360,150806] |
[a1,a2,a3,a4,a6] |
Generators |
[25:592:1] |
Generators of the group modulo torsion |
j |
44085741154463744/35020301146875 |
j-invariant |
L |
3.0047327177053 |
L(r)(E,1)/r! |
Ω |
0.42030303099876 |
Real period |
R |
2.3829891737598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
35145c1 58575i1 128865r1 |
Quadratic twists by: -3 5 -11 |