Atkin-Lehner |
2- 3- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070be |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-4856566689450 = -1 · 2 · 39 · 52 · 7 · 893 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1607,109289] |
[a1,a2,a3,a4,a6] |
Generators |
[-354:2603:8] |
Generators of the group modulo torsion |
j |
-629202484009/6661957050 |
j-invariant |
L |
10.409448841802 |
L(r)(E,1)/r! |
Ω |
0.65573902329679 |
Real period |
R |
3.968594391974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18690h1 |
Quadratic twists by: -3 |