Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342j |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
84420622093752 = 23 · 310 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2315101833,-42874335219339] |
[a1,a2,a3,a4,a6] |
Generators |
[-9629153087987779366794735:4814580729802564222656396:346631143776909808375] |
Generators of the group modulo torsion |
j |
15999935809592383211759617/984312 |
j-invariant |
L |
2.7936993708304 |
L(r)(E,1)/r! |
Ω |
0.021764917733601 |
Real period |
R |
32.089477720807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114y5 3906h5 |
Quadratic twists by: -3 -7 |