Atkin-Lehner |
2+ 3- 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130n |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
-6792380720087040000 = -1 · 232 · 37 · 54 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,210150,-119836364] |
[a1,a2,a3,a4,a6] |
Generators |
[98231249345340:9201095758312034:11104492391] |
Generators of the group modulo torsion |
j |
1407936942337442399/9317394677760000 |
j-invariant |
L |
4.4870556696969 |
L(r)(E,1)/r! |
Ω |
0.11810264121619 |
Real period |
R |
18.996423853159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34710z1 |
Quadratic twists by: -3 |