Atkin-Lehner |
2- 3- 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690cc |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-6595182810 = -1 · 2 · 312 · 5 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53402,-4736509] |
[a1,a2,a3,a4,a6] |
j |
-23102614259287129/9046890 |
j-invariant |
L |
5.6530554782627 |
L(r)(E,1)/r! |
Ω |
0.15702933935714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230l1 |
Quadratic twists by: -3 |