Atkin-Lehner |
2+ 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150cu |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-8555986047375000000 = -1 · 26 · 310 · 59 · 132 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-190242,-144263084] |
[a1,a2,a3,a4,a6] |
Generators |
[740:10574:1] |
Generators of the group modulo torsion |
j |
-534794137613/6009142464 |
j-invariant |
L |
6.9229460318214 |
L(r)(E,1)/r! |
Ω |
0.098806893219798 |
Real period |
R |
2.9193923005868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050by1 111150fd1 |
Quadratic twists by: -3 5 |