Atkin-Lehner |
3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
555b |
Isogeny class |
Conductor |
555 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
-61543395 = -1 · 35 · 5 · 373 |
Discriminant |
Eigenvalues |
0 3- 5- 2 0 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-196805,-33670564] |
[a1,a2,a3,a4,a6] |
j |
-843013059301831868416/61543395 |
j-invariant |
L |
1.7000104938638 |
L(r)(E,1)/r! |
Ω |
0.11333403292425 |
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 |
8880r2 35520b2 1665c2 2775a2 |
Quadratic twists by: -4 8 -3 5 |