Atkin-Lehner |
2- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
9296b |
Isogeny class |
Conductor |
9296 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-19495124992 = -1 · 225 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 0 0 7- 3 -6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-395,-7366] |
[a1,a2,a3,a4,a6] |
Generators |
[58:406:1] |
Generators of the group modulo torsion |
j |
-1664006625/4759552 |
j-invariant |
L |
4.2439097147104 |
L(r)(E,1)/r! |
Ω |
0.49596466871927 |
Real period |
R |
4.2784395566618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1162b1 37184g1 83664cd1 65072v1 |
Quadratic twists by: -4 8 -3 -7 |