Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680cv |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.4334035459578E+29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1927269747,16302225892914] |
[a1,a2,a3,a4,a6] |
Generators |
[282733323575684858379113783:110871526565298813118865241130:1714935256832905048241] |
Generators of the group modulo torsion |
j |
2034416504287874043/882294347833600 |
j-invariant |
L |
9.4545381950025 |
L(r)(E,1)/r! |
Ω |
0.02735944758246 |
Real period |
R |
43.195948021578 |
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 |
15210c2 121680cj2 9360y2 |
Quadratic twists by: -4 -3 13 |