Atkin-Lehner |
2+ 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
123370g |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
260736 |
Modular degree for the optimal curve |
Δ |
-595483426330 = -1 · 2 · 5 · 138 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 2 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19438,1035702] |
[a1,a2,a3,a4,a6] |
j |
-168288035761/123370 |
j-invariant |
L |
1.8180260309386 |
L(r)(E,1)/r! |
Ω |
0.90901434943499 |
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 |
9490j1 |
Quadratic twists by: 13 |