Atkin-Lehner |
2- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39100k |
Isogeny class |
Conductor |
39100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51744 |
Modular degree for the optimal curve |
Δ |
-18875578958000 = -1 · 24 · 53 · 177 · 23 |
Discriminant |
Eigenvalues |
2- 1 5- -2 -3 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9953,-438952] |
[a1,a2,a3,a4,a6] |
j |
-54525463052288/9437789479 |
j-invariant |
L |
1.4205098934276 |
L(r)(E,1)/r! |
Ω |
0.23675164891048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39100o1 |
Quadratic twists by: 5 |