Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136bq |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-968429199838150656 = -1 · 219 · 37 · 615 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -2 -4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-296652,-78162032] |
[a1,a2,a3,a4,a6] |
Generators |
[117820:2737512:125] |
Generators of the group modulo torsion |
j |
-15107691357361/5067577806 |
j-invariant |
L |
6.6795774070471 |
L(r)(E,1)/r! |
Ω |
0.10057498888107 |
Real period |
R |
8.301737690155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35136j2 8784v2 11712be2 |
Quadratic twists by: -4 8 -3 |