Atkin-Lehner |
3- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57195i |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-430849935 = -1 · 37 · 5 · 312 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -4 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22,992] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:249:8] [0:31:1] |
Generators of the group modulo torsion |
j |
1685159/591015 |
j-invariant |
L |
4.9894387557671 |
L(r)(E,1)/r! |
Ω |
1.3000811186183 |
Real period |
R |
3.837790338083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19065k1 |
Quadratic twists by: -3 |