Atkin-Lehner |
2+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
19856a |
Isogeny class |
Conductor |
19856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-2541568 = -1 · 211 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 2 0 0 5 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,80] |
[a1,a2,a3,a4,a6] |
Generators |
[10:30:1] |
Generators of the group modulo torsion |
j |
-31250/1241 |
j-invariant |
L |
7.8170489136798 |
L(r)(E,1)/r! |
Ω |
2.1368270120888 |
Real period |
R |
1.8291253502169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9928a1 79424h1 |
Quadratic twists by: -4 8 |