Atkin-Lehner |
7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7007d |
Isogeny class |
Conductor |
7007 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1296728572139 = -1 · 78 · 113 · 132 |
Discriminant |
Eigenvalues |
-2 3 3 7- 11- 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9751,-374642] |
[a1,a2,a3,a4,a6] |
j |
-871531204608/11022011 |
j-invariant |
L |
2.8804582094637 |
L(r)(E,1)/r! |
Ω |
0.24003818412197 |
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 |
112112bi1 63063q1 1001c1 77077t1 |
Quadratic twists by: -4 -3 -7 -11 |