Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680cv |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
61931520 |
Modular degree for the optimal curve |
Δ |
-5.9181785528222E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,408986253,1887993624114] |
[a1,a2,a3,a4,a6] |
Generators |
[828948214672411:336367117688330240:5115120067] |
Generators of the group modulo torsion |
j |
19441890357117957/15208161280000 |
j-invariant |
L |
9.4545381950025 |
L(r)(E,1)/r! |
Ω |
0.02735944758246 |
Real period |
R |
21.597974010789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890364 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210c1 121680cj1 9360y1 |
Quadratic twists by: -4 -3 13 |