Atkin-Lehner |
3- 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120099n |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
55046419834117593 = 3 · 710 · 19 · 434 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-107385,7476319] |
[a1,a2,a3,a4,a6] |
Generators |
[11858336204:174216062509:187149248] |
Generators of the group modulo torsion |
j |
1164020215624057/467886848457 |
j-invariant |
L |
11.832035408624 |
L(r)(E,1)/r! |
Ω |
0.32102032738326 |
Real period |
R |
18.428794690287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17157a4 |
Quadratic twists by: -7 |