Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270h |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
9068790401110153000 = 23 · 53 · 73 · 319 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-628033,-125583763] |
[a1,a2,a3,a4,a6] |
Generators |
[989:14401:1] |
Generators of the group modulo torsion |
j |
30867540216409/10218313000 |
j-invariant |
L |
2.5944432423107 |
L(r)(E,1)/r! |
Ω |
0.17409177367006 |
Real period |
R |
1.2418944268614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2170c2 |
Quadratic twists by: -31 |