Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6358f |
Isogeny class |
Conductor |
6358 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
331200 |
Modular degree for the optimal curve |
Δ |
-3579235803852701696 = -1 · 250 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3 -3 2 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1015651,-404096107] |
[a1,a2,a3,a4,a6] |
j |
-400921744371182188137/12384898975268864 |
j-invariant |
L |
2.4018381346932 |
L(r)(E,1)/r! |
Ω |
0.075057441709162 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50864bj1 57222bl1 69938s1 6358c1 |
Quadratic twists by: -4 -3 -11 17 |