Atkin-Lehner |
2+ 3+ 43+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
47214a |
Isogeny class |
Conductor |
47214 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
893760 |
Modular degree for the optimal curve |
Δ |
-1305450196270255764 = -1 · 22 · 39 · 437 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 2 5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,207507,-41260663] |
[a1,a2,a3,a4,a6] |
j |
50202980031736701/66323741110108 |
j-invariant |
L |
2.3179764888337 |
L(r)(E,1)/r! |
Ω |
0.14487353052244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47214h1 |
Quadratic twists by: -3 |