Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200bf |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-1804275000000 = -1 · 26 · 38 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2175,51500] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:162:1] [5:250:1] |
Generators of the group modulo torsion |
j |
1560896/2475 |
j-invariant |
L |
9.6818066204795 |
L(r)(E,1)/r! |
Ω |
0.56979062622395 |
Real period |
R |
2.1239833929705 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999176 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200ef1 26400bm1 15840u1 |
Quadratic twists by: -4 -3 5 |