Atkin-Lehner |
2+ 3+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150l |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1259520 |
Modular degree for the optimal curve |
Δ |
-77338256835937500 = -1 · 22 · 33 · 516 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-148917,-25813759] |
[a1,a2,a3,a4,a6] |
Generators |
[2374:112813:1] |
Generators of the group modulo torsion |
j |
-865713914899443/183320312500 |
j-invariant |
L |
3.7362245113832 |
L(r)(E,1)/r! |
Ω |
0.12015292948664 |
Real period |
R |
3.8869469712387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999969367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150dh1 22230bc1 |
Quadratic twists by: -3 5 |