Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3360n |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-12600000000 = -1 · 29 · 32 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,464,3640] |
[a1,a2,a3,a4,a6] |
Generators |
[9:92:1] |
Generators of the group modulo torsion |
j |
21531355768/24609375 |
j-invariant |
L |
2.8812686550519 |
L(r)(E,1)/r! |
Ω |
0.8423793280211 |
Real period |
R |
3.4203933539306 |
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 |
3360s4 6720ck4 10080z4 16800n4 |
Quadratic twists by: -4 8 -3 5 |