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 |
deg |
9072 |
Modular degree for the optimal curve |
Δ |
-1815480 = -1 · 23 · 33 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,27,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
1221431/1080 |
j-invariant |
L |
2.5274806018438 |
L(r)(E,1)/r! |
Ω |
1.4527156492411 |
Real period |
R |
1.7398316065155 |
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 |
50430l1 |
Quadratic twists by: 41 |