Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768ba |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1.02601316475E+19 |
Discriminant |
Eigenvalues |
2+ 3 0 7- 5 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69580,-154273168] |
[a1,a2,a3,a4,a6] |
j |
-1207949625/332678528 |
j-invariant |
L |
6.5461725046937 |
L(r)(E,1)/r! |
Ω |
0.1022839453851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768de1 1274g1 5824o1 |
Quadratic twists by: -4 8 -7 |