Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50430d |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-322752000 = -1 · 29 · 3 · 53 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-588,-5808] |
[a1,a2,a3,a4,a6] |
Generators |
[254:623:8] |
Generators of the group modulo torsion |
j |
-13410393529/192000 |
j-invariant |
L |
2.5274806018438 |
L(r)(E,1)/r! |
Ω |
0.48423854974704 |
Real period |
R |
5.2194948195466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50430l2 |
Quadratic twists by: 41 |