Atkin-Lehner |
2+ 3- 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690p |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-2846804064753690 = -1 · 2 · 316 · 5 · 17 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -1 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6741,-2559897] |
[a1,a2,a3,a4,a6] |
Generators |
[1342869:42054891:1331] |
Generators of the group modulo torsion |
j |
46465747190351/3905081021610 |
j-invariant |
L |
6.8429690554245 |
L(r)(E,1)/r! |
Ω |
0.21522238249723 |
Real period |
R |
7.9487191097971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230ba1 |
Quadratic twists by: -3 |