Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270i |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1.0801086464E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-819458,237397748] |
[a1,a2,a3,a4,a6] |
Generators |
[7644:139538:27] |
Generators of the group modulo torsion |
j |
63325882502736285289/11239424000000000 |
j-invariant |
L |
6.0347584429949 |
L(r)(E,1)/r! |
Ω |
0.21693022088387 |
Real period |
R |
4.6364820437475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67270e2 |
Quadratic twists by: -31 |