Atkin-Lehner |
2- 3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650cm |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-42437260800 = -1 · 29 · 34 · 52 · 11 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1003,-15823] |
[a1,a2,a3,a4,a6] |
Generators |
[86:-775:1] |
Generators of the group modulo torsion |
j |
-4463890825945/1697490432 |
j-invariant |
L |
11.738240494006 |
L(r)(E,1)/r! |
Ω |
0.41630215193293 |
Real period |
R |
0.39161728410809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650n1 |
Quadratic twists by: 5 |