Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120bd |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13594560000000 = 212 · 3 · 57 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1249841,-537395295] |
[a1,a2,a3,a4,a6] |
Generators |
[46335:1314100:27] |
Generators of the group modulo torsion |
j |
52714296298872149824/3318984375 |
j-invariant |
L |
4.1890862283859 |
L(r)(E,1)/r! |
Ω |
0.14278606841542 |
Real period |
R |
7.334549992991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120bz2 114240jw1 |
Quadratic twists by: -4 8 |