Atkin-Lehner |
2+ 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
56280l |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
3054315600 = 24 · 35 · 52 · 7 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-455,2478] |
[a1,a2,a3,a4,a6] |
Generators |
[1:45:1] |
Generators of the group modulo torsion |
j |
652517349376/190894725 |
j-invariant |
L |
7.9548562702255 |
L(r)(E,1)/r! |
Ω |
1.3221220334763 |
Real period |
R |
0.60167337574309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112560h1 |
Quadratic twists by: -4 |