Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050l |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4437518405000 = -1 · 23 · 54 · 316 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 3 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-120625,16075325] |
[a1,a2,a3,a4,a6] |
Generators |
[13076:189:64] |
Generators of the group modulo torsion |
j |
-349938025/8 |
j-invariant |
L |
4.4061006406659 |
L(r)(E,1)/r! |
Ω |
0.71733162833271 |
Real period |
R |
3.0711741031809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48050v4 50a2 |
Quadratic twists by: 5 -31 |