Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
94800cd |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
1092096000000000 = 218 · 33 · 59 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 2 -6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-94208,11046912] |
[a1,a2,a3,a4,a6] |
Generators |
[768:19776:1] |
Generators of the group modulo torsion |
j |
11558505581/136512 |
j-invariant |
L |
4.139983861603 |
L(r)(E,1)/r! |
Ω |
0.49207475802357 |
Real period |
R |
4.2066614642409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11850bf1 94800dh1 |
Quadratic twists by: -4 5 |