Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
15168p |
Isogeny class |
Conductor |
15168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
409536 = 26 · 34 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8532,300510] |
[a1,a2,a3,a4,a6] |
Generators |
[474:645:8] |
Generators of the group modulo torsion |
j |
1073364380875072/6399 |
j-invariant |
L |
6.6023377736055 |
L(r)(E,1)/r! |
Ω |
2.0433400716146 |
Real period |
R |
3.2311497558938 |
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 |
15168h1 7584a3 45504bl1 |
Quadratic twists by: -4 8 -3 |