Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400f |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
79000000 = 26 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 -2 3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-608,5962] |
[a1,a2,a3,a4,a6] |
Generators |
[11:22:1] |
Generators of the group modulo torsion |
j |
24897088/79 |
j-invariant |
L |
4.6974830118032 |
L(r)(E,1)/r! |
Ω |
1.9370801658043 |
Real period |
R |
2.4250328947841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997656062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400s1 63200m1 5056e1 |
Quadratic twists by: -4 8 5 |