Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4032o |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-48393096192 = -1 · 210 · 39 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,-10712] |
[a1,a2,a3,a4,a6] |
Generators |
[54:364:1] |
Generators of the group modulo torsion |
j |
-2725888/64827 |
j-invariant |
L |
4.0840139470947 |
L(r)(E,1)/r! |
Ω |
0.48917563716785 |
Real period |
R |
2.0871920210191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4032bd1 504g1 1344j1 100800db1 |
Quadratic twists by: -4 8 -3 5 |