Atkin-Lehner |
2- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55216t |
Isogeny class |
Conductor |
55216 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
722304 |
Modular degree for the optimal curve |
Δ |
-67878811373907968 = -1 · 212 · 711 · 172 · 29 |
Discriminant |
Eigenvalues |
2- -3 0 7- 0 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17600,12502768] |
[a1,a2,a3,a4,a6] |
Generators |
[257:5831:1] |
Generators of the group modulo torsion |
j |
147197952000000/16571975433083 |
j-invariant |
L |
2.9514767572528 |
L(r)(E,1)/r! |
Ω |
0.26677865391584 |
Real period |
R |
0.50288144294086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3451a1 |
Quadratic twists by: -4 |