Atkin-Lehner |
2+ 5- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
100430j |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-2223973390375000 = -1 · 23 · 56 · 118 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 11- 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16332,2123306] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:1282:1] |
Generators of the group modulo torsion |
j |
2247701159/10375000 |
j-invariant |
L |
2.6277832315886 |
L(r)(E,1)/r! |
Ω |
0.33127073301616 |
Real period |
R |
3.9662170024929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001581 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
100430bm1 |
Quadratic twists by: -11 |