Atkin-Lehner |
2+ 3- 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690y |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1158144 |
Modular degree for the optimal curve |
Δ |
-19693110347735040 = -1 · 213 · 318 · 5 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 3 6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-123039,-17900595] |
[a1,a2,a3,a4,a6] |
j |
-282570322645337329/27013868789760 |
j-invariant |
L |
2.0282706791625 |
L(r)(E,1)/r! |
Ω |
0.1267669175219 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230z1 |
Quadratic twists by: -3 |