Atkin-Lehner |
2+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1640a |
Isogeny class |
Conductor |
1640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
44109440000 = 210 · 54 · 413 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 4 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22907,1334406] |
[a1,a2,a3,a4,a6] |
j |
1298160537477444/43075625 |
j-invariant |
L |
2.1272704822393 |
L(r)(E,1)/r! |
Ω |
1.0636352411197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3280a1 13120a1 14760s1 8200g1 |
Quadratic twists by: -4 8 -3 5 |