Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360dc |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-70100856483840 = -1 · 212 · 310 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4935,381735] |
[a1,a2,a3,a4,a6] |
j |
3244421190464/17114466915 |
j-invariant |
L |
4.4399290657139 |
L(r)(E,1)/r! |
Ω |
0.44399290865574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bt2 43680bb1 |
Quadratic twists by: -4 8 |