Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1845a |
Isogeny class |
Conductor |
1845 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-27675 = -1 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 3 4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48,128] |
[a1,a2,a3,a4,a6] |
Generators |
[6:7:1] |
Generators of the group modulo torsion |
j |
-452984832/1025 |
j-invariant |
L |
2.3312943530211 |
L(r)(E,1)/r! |
Ω |
3.7524418832957 |
Real period |
R |
0.15531848497102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29520v1 118080l1 1845b1 9225b1 |
Quadratic twists by: -4 8 -3 5 |