Atkin-Lehner |
2- 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160bk |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
240000 |
Modular degree for the optimal curve |
Δ |
-2031480000000000 = -1 · 212 · 35 · 510 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28315,1147917] |
[a1,a2,a3,a4,a6] |
j |
612911999504384/495966796875 |
j-invariant |
L |
3.0028907600342 |
L(r)(E,1)/r! |
Ω |
0.30028907595548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3135h1 |
Quadratic twists by: -4 |