Atkin-Lehner |
3- 5+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100485i |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-4273124625 = -1 · 37 · 53 · 72 · 11 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ 1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-180,3325] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:65:1] |
Generators of the group modulo torsion |
j |
-887503681/5861625 |
j-invariant |
L |
5.3942222547579 |
L(r)(E,1)/r! |
Ω |
1.1915172670832 |
Real period |
R |
1.1317969122128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33495i1 |
Quadratic twists by: -3 |