Atkin-Lehner |
3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94221i |
Isogeny class |
Conductor |
94221 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-1530684737170119 = -1 · 310 · 197 · 29 |
Discriminant |
Eigenvalues |
1 3- 2 0 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,27549,-674568] |
[a1,a2,a3,a4,a6] |
Generators |
[14298312:2382279159:512] |
Generators of the group modulo torsion |
j |
67419143/44631 |
j-invariant |
L |
9.2512332664115 |
L(r)(E,1)/r! |
Ω |
0.27142034571439 |
Real period |
R |
8.5211309797203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31407f1 4959h1 |
Quadratic twists by: -3 -19 |