Atkin-Lehner |
2+ 3+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498b |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92736 |
Modular degree for the optimal curve |
Δ |
110822534424 = 23 · 33 · 78 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 6 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1479,15301] |
[a1,a2,a3,a4,a6] |
Generators |
[11:11:1] |
Generators of the group modulo torsion |
j |
2299563/712 |
j-invariant |
L |
5.7911038363591 |
L(r)(E,1)/r! |
Ω |
0.97668951378788 |
Real period |
R |
2.9646595743569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498bc1 78498i1 |
Quadratic twists by: -3 -7 |