Atkin-Lehner |
2+ 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101738i |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-18864941049517472 = -1 · 25 · 75 · 138 · 43 |
Discriminant |
Eigenvalues |
2+ -3 0 7+ -1 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27832,-6838688] |
[a1,a2,a3,a4,a6] |
j |
-493975742625/3908367008 |
j-invariant |
L |
0.6517113494348 |
L(r)(E,1)/r! |
Ω |
0.16292785497804 |
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 |
7826n1 |
Quadratic twists by: 13 |