Atkin-Lehner |
2- 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74100bc |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
720252000000 = 28 · 36 · 56 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32708,2265588] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:1050:1] |
Generators of the group modulo torsion |
j |
967473250000/180063 |
j-invariant |
L |
8.3865248274042 |
L(r)(E,1)/r! |
Ω |
0.87558970271538 |
Real period |
R |
3.192714883821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2964a2 |
Quadratic twists by: 5 |