Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050l |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-11093796012500000 = -1 · 25 · 58 · 316 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 3 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72575,-9102875] |
[a1,a2,a3,a4,a6] |
Generators |
[5019:352580:1] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
4.4061006406659 |
L(r)(E,1)/r! |
Ω |
0.14346632566654 |
Real period |
R |
5.1186235053015 |
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 |
48050v1 50a3 |
Quadratic twists by: 5 -31 |