Atkin-Lehner |
2- 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150cy |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-8336250000000 = -1 · 27 · 33 · 510 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 1 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4870,45497] |
[a1,a2,a3,a4,a6] |
Generators |
[9:295:1] |
Generators of the group modulo torsion |
j |
30283802613/19760000 |
j-invariant |
L |
13.176458721533 |
L(r)(E,1)/r! |
Ω |
0.46021347774228 |
Real period |
R |
1.022542437917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150c1 22230f1 |
Quadratic twists by: -3 5 |