Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50430b |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
347335382404800 = 26 · 317 · 52 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -5 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-99808,-12145088] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:272:1] |
Generators of the group modulo torsion |
j |
65412215191030009/206624260800 |
j-invariant |
L |
2.8817855189691 |
L(r)(E,1)/r! |
Ω |
0.26865202962199 |
Real period |
R |
2.6817083077859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50430k1 |
Quadratic twists by: 41 |