Atkin-Lehner |
3+ 7+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
23919a |
Isogeny class |
Conductor |
23919 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5149067049 = 34 · 72 · 172 · 672 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ -4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23919,1413876] |
[a1,a2,a3,a4,a6] |
Generators |
[73:215:1] |
Generators of the group modulo torsion |
j |
1513400605433878897/5149067049 |
j-invariant |
L |
1.8942548599121 |
L(r)(E,1)/r! |
Ω |
1.1913571208093 |
Real period |
R |
1.5899975136132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71757g2 |
Quadratic twists by: -3 |