Atkin-Lehner |
2- 5- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79550v |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-2411192320000 = -1 · 216 · 54 · 372 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -3 1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5238,163492] |
[a1,a2,a3,a4,a6] |
Generators |
[-674:1077:8] [36:130:1] |
Generators of the group modulo torsion |
j |
-25429941379825/3857907712 |
j-invariant |
L |
10.64999112973 |
L(r)(E,1)/r! |
Ω |
0.78803410112789 |
Real period |
R |
0.14077741996523 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79550a1 |
Quadratic twists by: 5 |