Atkin-Lehner |
2- 3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240be |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-31457341440 = -1 · 212 · 36 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-936,14256] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-54:1] [-22:154:1] |
Generators of the group modulo torsion |
j |
-22164361129/7680015 |
j-invariant |
L |
8.5068435167564 |
L(r)(E,1)/r! |
Ω |
1.1046085496848 |
Real period |
R |
1.9253072772148 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4515g1 |
Quadratic twists by: -4 |