Atkin-Lehner |
2+ 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550cr |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3962880 |
Modular degree for the optimal curve |
Δ |
-3.2258819227323E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 3 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-504882,306295276] |
[a1,a2,a3,a4,a6] |
j |
-156191112157474421/354006246664728 |
j-invariant |
L |
2.2129271348187 |
L(r)(E,1)/r! |
Ω |
0.18441056071749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850cg1 116550fq1 |
Quadratic twists by: -3 5 |