Atkin-Lehner |
2- 3- 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
91980bc |
Isogeny class |
Conductor |
91980 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-3258796212000000 = -1 · 28 · 313 · 56 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327,-2746546] |
[a1,a2,a3,a4,a6] |
Generators |
[298:4860:1] |
Generators of the group modulo torsion |
j |
-20720464/17461828125 |
j-invariant |
L |
7.9356655546991 |
L(r)(E,1)/r! |
Ω |
0.20487598114577 |
Real period |
R |
1.6139165257401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30660c1 |
Quadratic twists by: -3 |