Atkin-Lehner |
2+ 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55216f |
Isogeny class |
Conductor |
55216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
99328 |
Modular degree for the optimal curve |
Δ |
179341568 = 28 · 72 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-233519,-43434162] |
[a1,a2,a3,a4,a6] |
Generators |
[855918711:-145058907840:29791] |
Generators of the group modulo torsion |
j |
5501111067131339088/700553 |
j-invariant |
L |
6.7226899914882 |
L(r)(E,1)/r! |
Ω |
0.21717958510749 |
Real period |
R |
15.477260415944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27608f1 |
Quadratic twists by: -4 |