Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150bs |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
92600015625000000 = 26 · 32 · 512 · 13 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-317963,-67571719] |
[a1,a2,a3,a4,a6] |
j |
227527308408360169/5926401000000 |
j-invariant |
L |
2.4164446205782 |
L(r)(E,1)/r! |
Ω |
0.20137038540581 |
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 |
14430t3 |
Quadratic twists by: 5 |