Atkin-Lehner |
3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118575i |
Isogeny class |
Conductor |
118575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
-188011806697265625 = -1 · 37 · 59 · 175 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -1 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1071567,427727466] |
[a1,a2,a3,a4,a6] |
Generators |
[5358:400396:27] |
Generators of the group modulo torsion |
j |
-11946326430565801/16505837625 |
j-invariant |
L |
9.1070067911355 |
L(r)(E,1)/r! |
Ω |
0.31863636853195 |
Real period |
R |
7.1452976633116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39525g1 23715g1 |
Quadratic twists by: -3 5 |