Atkin-Lehner |
2+ 3+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150i |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
114467132812500000 = 25 · 33 · 512 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-210192,33381216] |
[a1,a2,a3,a4,a6] |
Generators |
[-441:6558:1] |
Generators of the group modulo torsion |
j |
2434387065713667/271329500000 |
j-invariant |
L |
4.8375345750286 |
L(r)(E,1)/r! |
Ω |
0.32213473073527 |
Real period |
R |
1.8771394852214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150de2 22230w2 |
Quadratic twists by: -3 5 |