Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672bw |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-132819568820224 = -1 · 219 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ -2 -1 3 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,554431] |
[a1,a2,a3,a4,a6] |
Generators |
[73:968:1] |
Generators of the group modulo torsion |
j |
-1/286 |
j-invariant |
L |
4.9593762057249 |
L(r)(E,1)/r! |
Ω |
0.46523632345969 |
Real period |
R |
1.3324884553891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999302803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672ed1 3146e1 9152d1 |
Quadratic twists by: -4 8 -11 |