Atkin-Lehner |
2+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103880a |
Isogeny class |
Conductor |
103880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1483776 |
Modular degree for the optimal curve |
Δ |
-5822342753187968000 = -1 · 210 · 53 · 78 · 534 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -2 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-546856,-193996900] |
[a1,a2,a3,a4,a6] |
Generators |
[91642650:4399624340:35937] |
Generators of the group modulo torsion |
j |
-3063791267236/986310125 |
j-invariant |
L |
3.4504543010504 |
L(r)(E,1)/r! |
Ω |
0.086364472461852 |
Real period |
R |
9.9880605067303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999847182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103880k1 |
Quadratic twists by: -7 |