Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136bz |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
31751777043873792 = 220 · 37 · 614 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81516,2597456] |
[a1,a2,a3,a4,a6] |
Generators |
[26:704:1] |
Generators of the group modulo torsion |
j |
313461959257/166150092 |
j-invariant |
L |
4.1801306093117 |
L(r)(E,1)/r! |
Ω |
0.32449734704823 |
Real period |
R |
3.220465935496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35136q3 8784x4 11712u3 |
Quadratic twists by: -4 8 -3 |