Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432ba |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-623905304150016 = -1 · 216 · 37 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -2 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19656,-571536] |
[a1,a2,a3,a4,a6] |
j |
205034573717063/152320630896 |
j-invariant |
L |
0.57531890143522 |
L(r)(E,1)/r! |
Ω |
0.28765945071761 |
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 |
1554e1 49728ei1 37296bp1 87024do1 |
Quadratic twists by: -4 8 -3 -7 |