Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800g |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
1868800 = 210 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 2 -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-23] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:7:8] |
Generators of the group modulo torsion |
j |
160000/73 |
j-invariant |
L |
6.4069748749698 |
L(r)(E,1)/r! |
Ω |
2.074685617538 |
Real period |
R |
3.0881666417499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999356494 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800bt1 14600a1 116800be1 |
Quadratic twists by: -4 8 5 |