Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672bi |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
123455789218398208 = 218 · 118 · 133 |
Discriminant |
Eigenvalues |
2+ 1 2 -2 11- 13- 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-147297,-13748737] |
[a1,a2,a3,a4,a6] |
Generators |
[-323:484:1] |
Generators of the group modulo torsion |
j |
6289657/2197 |
j-invariant |
L |
9.583309355546 |
L(r)(E,1)/r! |
Ω |
0.25067783353388 |
Real period |
R |
2.1238657912084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672dy1 1573a1 100672j1 |
Quadratic twists by: -4 8 -11 |