Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1827c |
Isogeny class |
Conductor |
1827 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
38624607 = 38 · 7 · 292 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-320,-2100] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:9:1] |
Generators of the group modulo torsion |
j |
4956477625/52983 |
j-invariant |
L |
1.9407857607454 |
L(r)(E,1)/r! |
Ω |
1.1297922527246 |
Real period |
R |
0.85891267003515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29232y2 116928cf2 609a2 45675f2 |
Quadratic twists by: -4 8 -3 5 |