Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12540b |
Isogeny class |
Conductor |
12540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8928 |
Modular degree for the optimal curve |
Δ |
-2508000000 = -1 · 28 · 3 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-461,4665] |
[a1,a2,a3,a4,a6] |
Generators |
[43:250:1] |
Generators of the group modulo torsion |
j |
-42415857664/9796875 |
j-invariant |
L |
4.1709600397988 |
L(r)(E,1)/r! |
Ω |
1.3806322876556 |
Real period |
R |
0.50350843801686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50160bx1 37620o1 62700x1 |
Quadratic twists by: -4 -3 5 |