Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7644h |
Isogeny class |
Conductor |
7644 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-640153295531568 = -1 · 24 · 35 · 78 · 134 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15353,-1425684] |
[a1,a2,a3,a4,a6] |
Generators |
[520:11466:1] |
Generators of the group modulo torsion |
j |
-212629504000/340075827 |
j-invariant |
L |
4.9309661175255 |
L(r)(E,1)/r! |
Ω |
0.20313044488173 |
Real period |
R |
1.2137437399885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30576bx1 122304i1 22932t1 1092a1 |
Quadratic twists by: -4 8 -3 -7 |