Atkin-Lehner |
2- 5- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53650l |
Isogeny class |
Conductor |
53650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-343882232453125000 = -1 · 23 · 59 · 296 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- -4 0 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,133820,20966447] |
[a1,a2,a3,a4,a6] |
j |
135693733617603/176067703016 |
j-invariant |
L |
2.4497386549677 |
L(r)(E,1)/r! |
Ω |
0.20414488797375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53650e2 |
Quadratic twists by: 5 |