Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57800i |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-23120000000 = -1 · 210 · 57 · 172 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4675,-123250] |
[a1,a2,a3,a4,a6] |
Generators |
[3405:30700:27] |
Generators of the group modulo torsion |
j |
-2443716/5 |
j-invariant |
L |
9.8262987564148 |
L(r)(E,1)/r! |
Ω |
0.28864956574382 |
Real period |
R |
4.2552890782463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600o1 11560l1 57800m1 |
Quadratic twists by: -4 5 17 |