Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568df |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
618240 |
Modular degree for the optimal curve |
Δ |
-10961031987811008 = -1 · 26 · 37 · 238 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 4 3 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81113,10192341] |
[a1,a2,a3,a4,a6] |
j |
-11776000/2187 |
j-invariant |
L |
2.7194704897447 |
L(r)(E,1)/r! |
Ω |
0.38849578070912 |
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 |
101568a1 25392v1 101568de1 |
Quadratic twists by: -4 8 -23 |