Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3520bc |
Isogeny class |
Conductor |
3520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2816000000 = -1 · 214 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11+ 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,68,2544] |
[a1,a2,a3,a4,a6] |
Generators |
[8:60:1] |
Generators of the group modulo torsion |
j |
2122416/171875 |
j-invariant |
L |
3.7302378074241 |
L(r)(E,1)/r! |
Ω |
1.0954255156586 |
Real period |
R |
1.1350955265335 |
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 |
3520l2 880b2 31680ct2 17600bm2 |
Quadratic twists by: -4 8 -3 5 |