Atkin-Lehner |
3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
36603f |
Isogeny class |
Conductor |
36603 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-3139297326963 = -1 · 38 · 78 · 83 |
Discriminant |
Eigenvalues |
0 3- -2 7+ 3 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4116,132655] |
[a1,a2,a3,a4,a6] |
Generators |
[49:220:1] |
Generators of the group modulo torsion |
j |
-1835008/747 |
j-invariant |
L |
4.5595863277149 |
L(r)(E,1)/r! |
Ω |
0.74885079900534 |
Real period |
R |
0.50739817305951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12201c1 36603k1 |
Quadratic twists by: -3 -7 |