Atkin-Lehner |
2- 3- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954ci |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
-1161865835053056 = -1 · 221 · 35 · 73 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-374487,88191081] |
[a1,a2,a3,a4,a6] |
Generators |
[390:-1419:1] [-528:12045:1] |
Generators of the group modulo torsion |
j |
-16933233728414679031/3387363950592 |
j-invariant |
L |
16.83167626695 |
L(r)(E,1)/r! |
Ω |
0.47378055414291 |
Real period |
R |
0.08458645959578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999957425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114954bu1 |
Quadratic twists by: -7 |