Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
5360a |
Isogeny class |
Conductor |
5360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-5360 = -1 · 24 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[5:13:1] |
Generators of the group modulo torsion |
j |
340736/335 |
j-invariant |
L |
4.3469276188848 |
L(r)(E,1)/r! |
Ω |
2.3388322489128 |
Real period |
R |
1.8585888837925 |
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 |
2680d1 21440bd1 48240t1 26800h1 |
Quadratic twists by: -4 8 -3 5 |