Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850bs |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2723105280000 = -1 · 212 · 3 · 54 · 7 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 5 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2349,-66002] |
[a1,a2,a3,a4,a6] |
Generators |
[31:176:1] |
Generators of the group modulo torsion |
j |
2294872120775/4356968448 |
j-invariant |
L |
5.4639848276214 |
L(r)(E,1)/r! |
Ω |
0.42230305050004 |
Real period |
R |
2.1564233004207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550fu2 38850bx2 |
Quadratic twists by: -3 5 |