Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568dg |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-1.0410756410916E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1202593,530411999] |
[a1,a2,a3,a4,a6] |
j |
-4956477625/268272 |
j-invariant |
L |
2.7072141345921 |
L(r)(E,1)/r! |
Ω |
0.22560118939853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568e1 25392w1 4416z1 |
Quadratic twists by: -4 8 -23 |