Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136j |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
4 |
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] |
j |
-15107691357361/5067577806 |
j-invariant |
L |
1.0511896263631 |
L(r)(E,1)/r! |
Ω |
0.26279740659034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35136bq2 1098e2 11712b2 |
Quadratic twists by: -4 8 -3 |