Atkin-Lehner |
3- 11- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70587j |
Isogeny class |
Conductor |
70587 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3632260410801 = 310 · 112 · 232 · 312 |
Discriminant |
Eigenvalues |
1 3- 2 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7011,-204768] |
[a1,a2,a3,a4,a6] |
Generators |
[-404380:1291861:8000] |
Generators of the group modulo torsion |
j |
52284255537457/4982524569 |
j-invariant |
L |
9.3006437785299 |
L(r)(E,1)/r! |
Ω |
0.52492820610166 |
Real period |
R |
8.8589674452897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000637 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23529e2 |
Quadratic twists by: -3 |