Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488de |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
699704721408 = 214 · 3 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2417,20943] |
[a1,a2,a3,a4,a6] |
Generators |
[207:2904:1] |
Generators of the group modulo torsion |
j |
810448/363 |
j-invariant |
L |
9.1892127749964 |
L(r)(E,1)/r! |
Ω |
0.81253821783935 |
Real period |
R |
2.8273170961397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488gi2 6468h2 2112c2 |
Quadratic twists by: -4 8 -7 |