Atkin-Lehner |
2+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18130l |
Isogeny class |
Conductor |
18130 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13608 |
Modular degree for the optimal curve |
Δ |
-43530130 = -1 · 2 · 5 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 3 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2622,-52786] |
[a1,a2,a3,a4,a6] |
j |
-16954786009/370 |
j-invariant |
L |
3.0021456827369 |
L(r)(E,1)/r! |
Ω |
0.33357174252632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650ci1 370c3 |
Quadratic twists by: 5 -7 |