Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530ck |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1096704 |
Modular degree for the optimal curve |
Δ |
4177676250000 = 24 · 34 · 57 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-554881,-159138055] |
[a1,a2,a3,a4,a6] |
Generators |
[-50596420:24775955:117649] |
Generators of the group modulo torsion |
j |
14195322643523193899/3138750000 |
j-invariant |
L |
13.197045354035 |
L(r)(E,1)/r! |
Ω |
0.17492407773517 |
Real period |
R |
9.4305523124152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112530s1 |
Quadratic twists by: -11 |