Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050cr |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-43984297012500000 = -1 · 25 · 36 · 58 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114867,-18036459] |
[a1,a2,a3,a4,a6] |
Generators |
[7069:590078:1] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
3.2085478399474 |
L(r)(E,1)/r! |
Ω |
0.12790823880443 |
Real period |
R |
4.1807938111659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450x3 76050ek1 450b3 |
Quadratic twists by: -3 5 13 |