Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230em |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-750217545000 = -1 · 23 · 311 · 54 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-107042,13506441] |
[a1,a2,a3,a4,a6] |
Generators |
[191:-141:1] |
Generators of the group modulo torsion |
j |
-1537693061582689/8505000 |
j-invariant |
L |
9.7974080683499 |
L(r)(E,1)/r! |
Ω |
0.79869257443365 |
Real period |
R |
0.5111169794504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410f1 76230cn1 |
Quadratic twists by: -3 -11 |