Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82418l |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-5540797304 = -1 · 23 · 77 · 292 |
Discriminant |
Eigenvalues |
2- 1 3 7- 0 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1569,-24319] |
[a1,a2,a3,a4,a6] |
Generators |
[46280:862339:125] |
Generators of the group modulo torsion |
j |
-4317433/56 |
j-invariant |
L |
15.429301031095 |
L(r)(E,1)/r! |
Ω |
0.37898946456929 |
Real period |
R |
6.785281418825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774i1 82418h1 |
Quadratic twists by: -7 29 |