Atkin-Lehner |
3+ 7+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
23919a |
Isogeny class |
Conductor |
23919 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
71757 = 32 · 7 · 17 · 67 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ -4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-382704,90966612] |
[a1,a2,a3,a4,a6] |
Generators |
[2862:-1173:8] |
Generators of the group modulo torsion |
j |
6198873694626499520257/71757 |
j-invariant |
L |
1.8942548599121 |
L(r)(E,1)/r! |
Ω |
1.1913571208093 |
Real period |
R |
3.1799950272263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71757g4 |
Quadratic twists by: -3 |