Atkin-Lehner |
2- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
100928w |
Isogeny class |
Conductor |
100928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
402432 |
Modular degree for the optimal curve |
Δ |
-255905505148928 = -1 · 216 · 196 · 83 |
Discriminant |
Eigenvalues |
2- -1 0 -1 5 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200673,34675969] |
[a1,a2,a3,a4,a6] |
Generators |
[8877:54872:27] |
Generators of the group modulo torsion |
j |
-13636809560150500/3904808123 |
j-invariant |
L |
5.0001804612075 |
L(r)(E,1)/r! |
Ω |
0.54087394920255 |
Real period |
R |
2.3111579288308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100928f1 25232a1 |
Quadratic twists by: -4 8 |