Atkin-Lehner |
3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775da |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
306 |
Product of Tamagawa factors cp |
deg |
133660800 |
Modular degree for the optimal curve |
Δ |
-1.7531692854773E+32 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 0 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9952392424,509690843318423] |
[a1,a2,a3,a4,a6] |
j |
48412981936758748562855/77853743274432041397 |
j-invariant |
L |
3.7686654376669 |
L(r)(E,1)/r! |
Ω |
0.012315900125043 |
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 |
47775b1 47775bf1 |
Quadratic twists by: 5 -7 |