Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50430y |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
143 |
Product of Tamagawa factors cp |
deg |
240240 |
Modular degree for the optimal curve |
Δ |
-27443783301120 = -1 · 211 · 313 · 5 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 7 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1921,253961] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-505:1] |
Generators of the group modulo torsion |
j |
-466393214209/16325867520 |
j-invariant |
L |
9.3895634521588 |
L(r)(E,1)/r! |
Ω |
0.55524497559718 |
Real period |
R |
0.11825641972046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50430t1 |
Quadratic twists by: 41 |