Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230q |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
767451611908327500 = 22 · 38 · 54 · 74 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2327760,1366890916] |
[a1,a2,a3,a4,a6] |
Generators |
[278:27086:1] |
Generators of the group modulo torsion |
j |
1080077156587801/594247500 |
j-invariant |
L |
3.9037233648114 |
L(r)(E,1)/r! |
Ω |
0.28037648681737 |
Real period |
R |
0.87019675936774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410ca4 6930bb3 |
Quadratic twists by: -3 -11 |