Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5550bq |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
1079516736000000000 = 215 · 32 · 59 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21834638,39268709892] |
[a1,a2,a3,a4,a6] |
Generators |
[3852:109074:1] |
Generators of the group modulo torsion |
j |
589429221475670903501/552712568832 |
j-invariant |
L |
6.270496109589 |
L(r)(E,1)/r! |
Ω |
0.23106660343423 |
Real period |
R |
0.4522863405611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44400ca2 16650bl2 5550g2 |
Quadratic twists by: -4 -3 5 |