Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440bx |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-3939404895578880 = -1 · 28 · 35 · 5 · 78 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -1 13+ -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7660,-3028220] |
[a1,a2,a3,a4,a6] |
Generators |
[1052:33942:1] |
Generators of the group modulo torsion |
j |
-33685456/2669355 |
j-invariant |
L |
4.8047538692455 |
L(r)(E,1)/r! |
Ω |
0.1944080013212 |
Real period |
R |
6.178698714291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76440cu1 |
Quadratic twists by: -7 |