Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dd |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.7047892583272E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11766963,-15533435918] |
[a1,a2,a3,a4,a6] |
Generators |
[1469489:38637990:343] |
Generators of the group modulo torsion |
j |
12501706118329/2570490 |
j-invariant |
L |
7.0707858879433 |
L(r)(E,1)/r! |
Ω |
0.081515240864415 |
Real period |
R |
10.842736010779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210h3 40560cq4 9360bs3 |
Quadratic twists by: -4 -3 13 |