Atkin-Lehner |
2+ 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7854j |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-461862324 = -1 · 22 · 36 · 7 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11- 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,48,-1022] |
[a1,a2,a3,a4,a6] |
j |
12600539783/461862324 |
j-invariant |
L |
3.2042402116051 |
L(r)(E,1)/r! |
Ω |
0.80106005290127 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62832u1 23562bg1 54978m1 86394cq1 |
Quadratic twists by: -4 -3 -7 -11 |