Atkin-Lehner |
2- 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
100700d |
Isogeny class |
Conductor |
100700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
44204883200 = 28 · 52 · 194 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 1 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1040,8020] |
[a1,a2,a3,a4,a6] |
Generators |
[501:11191:1] |
Generators of the group modulo torsion |
j |
19437649920/6907013 |
j-invariant |
L |
6.8770619865978 |
L(r)(E,1)/r! |
Ω |
1.0443966781673 |
Real period |
R |
3.2923610962758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100700j1 |
Quadratic twists by: 5 |