Atkin-Lehner |
2+ 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
57722j |
Isogeny class |
Conductor |
57722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
-64030573142144 = -1 · 27 · 73 · 196 · 31 |
Discriminant |
Eigenvalues |
2+ 3 3 7- 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89938,-10366252] |
[a1,a2,a3,a4,a6] |
Generators |
[42868452258267:607329729282148:93144487437] |
Generators of the group modulo torsion |
j |
-234564338307622959/186678055808 |
j-invariant |
L |
10.405153783863 |
L(r)(E,1)/r! |
Ω |
0.13783604356991 |
Real period |
R |
18.87233831292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57722l1 |
Quadratic twists by: -7 |