Atkin-Lehner |
3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
585f |
Isogeny class |
Conductor |
585 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
3838185 = 310 · 5 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-990,-11745] |
[a1,a2,a3,a4,a6] |
Generators |
[238:3513:1] |
Generators of the group modulo torsion |
j |
147281603041/5265 |
j-invariant |
L |
2.3595617156492 |
L(r)(E,1)/r! |
Ω |
0.8510814529262 |
Real period |
R |
5.5448552134147 |
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 |
9360bm1 37440ca1 195a1 2925g1 |
Quadratic twists by: -4 8 -3 5 |