Atkin-Lehner |
5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57475a |
Isogeny class |
Conductor |
57475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
938458984375 = 59 · 113 · 192 |
Discriminant |
Eigenvalues |
1 0 5+ -2 11+ -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-183442,-30195159] |
[a1,a2,a3,a4,a6] |
Generators |
[31700:17831:64] |
Generators of the group modulo torsion |
j |
32826402662859/45125 |
j-invariant |
L |
4.3288117067961 |
L(r)(E,1)/r! |
Ω |
0.23068788394009 |
Real period |
R |
9.3823993543089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11495a2 57475d2 |
Quadratic twists by: 5 -11 |