Atkin-Lehner |
2+ 3- 5- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
32430m |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
184576 |
Modular degree for the optimal curve |
Δ |
-579533220937500 = -1 · 22 · 3 · 57 · 234 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11693,-1257292] |
[a1,a2,a3,a4,a6] |
j |
-176786122047320521/579533220937500 |
j-invariant |
L |
2.9592807549103 |
L(r)(E,1)/r! |
Ω |
0.21137719677924 |
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 |
97290bi1 |
Quadratic twists by: -3 |