Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150eb |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-51351716812500 = -1 · 22 · 39 · 56 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1355,345647] |
[a1,a2,a3,a4,a6] |
Generators |
[1395:51376:1] |
Generators of the group modulo torsion |
j |
-24137569/4508244 |
j-invariant |
L |
12.03503351833 |
L(r)(E,1)/r! |
Ω |
0.51651120377801 |
Real period |
R |
5.8251560572222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050z1 4446f1 |
Quadratic twists by: -3 5 |