Atkin-Lehner |
2- 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27608f |
Isogeny class |
Conductor |
27608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49664 |
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 |
[-346:9100:1] |
Generators of the group modulo torsion |
j |
5501111067131339088/700553 |
j-invariant |
L |
5.6509296784399 |
L(r)(E,1)/r! |
Ω |
1.0263050906284 |
Real period |
R |
5.5060914439972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55216f1 |
Quadratic twists by: -4 |