Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050cm |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-591364800000000 = -1 · 212 · 37 · 58 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -6 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-217242,39044916] |
[a1,a2,a3,a4,a6] |
Generators |
[228:1038:1] |
Generators of the group modulo torsion |
j |
-23560361305/12288 |
j-invariant |
L |
3.7525557886363 |
L(r)(E,1)/r! |
Ω |
0.50914767663893 |
Real period |
R |
1.8425674715271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350di2 76050ei2 76050fv2 |
Quadratic twists by: -3 5 13 |