Atkin-Lehner |
2+ 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101738g |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-8461512020416 = -1 · 26 · 72 · 137 · 43 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1186,140340] |
[a1,a2,a3,a4,a6] |
j |
-38272753/1753024 |
j-invariant |
L |
1.2200352916003 |
L(r)(E,1)/r! |
Ω |
0.61001786984639 |
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 |
7826k1 |
Quadratic twists by: 13 |