Atkin-Lehner |
2+ 3- 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610v |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7220375995651200 = -1 · 27 · 32 · 52 · 196 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14228,-4141294] |
[a1,a2,a3,a4,a6] |
j |
-318501441894315961/7220375995651200 |
j-invariant |
L |
2.1731105280355 |
L(r)(E,1)/r! |
Ω |
0.18109254400707 |
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 |
124830ci2 |
Quadratic twists by: -3 |