Atkin-Lehner |
2+ 5+ 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
108650g |
Isogeny class |
Conductor |
108650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-745111938476562500 = -1 · 22 · 515 · 41 · 533 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,224975,6247625] |
[a1,a2,a3,a4,a6] |
Generators |
[205:-7915:1] |
Generators of the group modulo torsion |
j |
80594137383578351/47687164062500 |
j-invariant |
L |
4.8597497060813 |
L(r)(E,1)/r! |
Ω |
0.17334053255859 |
Real period |
R |
1.1681605451235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21730d2 |
Quadratic twists by: 5 |