Atkin-Lehner |
2+ 3- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070i |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10567680 |
Modular degree for the optimal curve |
Δ |
1.1984685538851E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51426765,131828058981] |
[a1,a2,a3,a4,a6] |
Generators |
[4973265192685:-20822506930941:1556862679] |
Generators of the group modulo torsion |
j |
20633067845941749343039441/1643989785850675200000 |
j-invariant |
L |
3.8103332523273 |
L(r)(E,1)/r! |
Ω |
0.084543974801488 |
Real period |
R |
22.534623320613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18690q1 |
Quadratic twists by: -3 |