Atkin-Lehner |
2- 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111910l |
Isogeny class |
Conductor |
111910 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1957760 |
Modular degree for the optimal curve |
Δ |
-992329208209980800 = -1 · 27 · 52 · 199 · 312 |
Discriminant |
Eigenvalues |
2- 1 5- 1 -6 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-311370,-82301788] |
[a1,a2,a3,a4,a6] |
j |
-10345981339/3075200 |
j-invariant |
L |
5.573650489437 |
L(r)(E,1)/r! |
Ω |
0.099529472963372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111910f1 |
Quadratic twists by: -19 |