Atkin-Lehner |
2+ 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150b |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3209482300781250 = -1 · 2 · 39 · 59 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,35058,1013966] |
[a1,a2,a3,a4,a6] |
Generators |
[142:10179:8] [49:1663:1] |
Generators of the group modulo torsion |
j |
15494117157/10435750 |
j-invariant |
L |
7.9585774031367 |
L(r)(E,1)/r! |
Ω |
0.28184446589523 |
Real period |
R |
3.5296849704086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001295 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150cx1 22230y2 |
Quadratic twists by: -3 5 |