Atkin-Lehner |
2+ 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55216d |
Isogeny class |
Conductor |
55216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-420525056 = -1 · 210 · 72 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 5 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-320,-2524] |
[a1,a2,a3,a4,a6] |
j |
-3550014724/410669 |
j-invariant |
L |
4.4848079322289 |
L(r)(E,1)/r! |
Ω |
0.56060099157909 |
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 |
27608d1 |
Quadratic twists by: -4 |