Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222r |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
671263187032548 = 22 · 37 · 11 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-515052,-142139588] |
[a1,a2,a3,a4,a6] |
Generators |
[1254:33764:1] |
Generators of the group modulo torsion |
j |
858729462625/38148 |
j-invariant |
L |
4.0248108537669 |
L(r)(E,1)/r! |
Ω |
0.17821239358573 |
Real period |
R |
2.8230435975194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074m1 3366d1 |
Quadratic twists by: -3 17 |