Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560bd |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1344094295702896640 = -1 · 234 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 0 -4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,161055,49977983] |
[a1,a2,a3,a4,a6] |
Generators |
[18222527:591388672:24389] |
Generators of the group modulo torsion |
j |
1762396940073671/5127312834560 |
j-invariant |
L |
6.7646981259507 |
L(r)(E,1)/r! |
Ω |
0.19065617148896 |
Real period |
R |
8.8702847554313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560de1 1330a1 |
Quadratic twists by: -4 8 |