Atkin-Lehner |
2+ 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630be |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-761710362131250 = -1 · 2 · 36 · 55 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1836,-1327364] |
[a1,a2,a3,a4,a6] |
j |
118822151/132131250 |
j-invariant |
L |
1.4115898694536 |
L(r)(E,1)/r! |
Ω |
0.23526497826325 |
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 |
127890fo1 42630q1 |
Quadratic twists by: -3 -7 |