Atkin-Lehner |
2- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
77420l |
Isogeny class |
Conductor |
77420 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
1468494818000 = 24 · 53 · 76 · 792 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3332,-45619] |
[a1,a2,a3,a4,a6] |
Generators |
[2469:17380:27] |
Generators of the group modulo torsion |
j |
2173353984/780125 |
j-invariant |
L |
7.2655551403523 |
L(r)(E,1)/r! |
Ω |
0.64711037099008 |
Real period |
R |
3.7425635898435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001541 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1580a1 |
Quadratic twists by: -7 |