Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3360c |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
437382235261440 = 29 · 320 · 5 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22296,-786060] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:238:1] |
Generators of the group modulo torsion |
j |
2394165105226952/854262178245 |
j-invariant |
L |
2.7422267596286 |
L(r)(E,1)/r! |
Ω |
0.40224098819306 |
Real period |
R |
3.408686384681 |
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 |
3360k2 6720ci3 10080bz2 16800bz3 |
Quadratic twists by: -4 8 -3 5 |