Atkin-Lehner |
7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58121a |
Isogeny class |
Conductor |
58121 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
158923368468459721 = 72 · 1910 · 232 |
Discriminant |
Eigenvalues |
1 0 2 7+ 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-999496,384380667] |
[a1,a2,a3,a4,a6] |
Generators |
[10927541477062466410:5603173288357348159:19657860210729125] |
Generators of the group modulo torsion |
j |
2347175330898273/3378050641 |
j-invariant |
L |
7.9645946798795 |
L(r)(E,1)/r! |
Ω |
0.32325526515926 |
Real period |
R |
24.638716019024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999578 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3059a2 |
Quadratic twists by: -19 |