Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552do |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-87452581269602304 = -1 · 218 · 35 · 74 · 833 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 2 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84161,-17079489] |
[a1,a2,a3,a4,a6] |
Generators |
[805:20916:1] |
Generators of the group modulo torsion |
j |
-251490515920561/333605122641 |
j-invariant |
L |
7.8142578499771 |
L(r)(E,1)/r! |
Ω |
0.13358120468217 |
Real period |
R |
0.48748486311204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552c1 27888w1 |
Quadratic twists by: -4 8 |