Atkin-Lehner |
2+ 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42160a |
Isogeny class |
Conductor |
42160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-304606000 = -1 · 24 · 53 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 1 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1238,16787] |
[a1,a2,a3,a4,a6] |
Generators |
[7:92:1] |
Generators of the group modulo torsion |
j |
-13114920536064/19037875 |
j-invariant |
L |
5.4543881254194 |
L(r)(E,1)/r! |
Ω |
1.7219768989893 |
Real period |
R |
3.1675152719062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21080f1 |
Quadratic twists by: -4 |