Atkin-Lehner |
2+ 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
57850j |
Isogeny class |
Conductor |
57850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
71280 |
Modular degree for the optimal curve |
Δ |
-305520312500 = -1 · 22 · 58 · 133 · 89 |
Discriminant |
Eigenvalues |
2+ 1 5- -4 -3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-826,28048] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:109:1] |
Generators of the group modulo torsion |
j |
-159275065/782132 |
j-invariant |
L |
3.4491139993065 |
L(r)(E,1)/r! |
Ω |
0.84109982928139 |
Real period |
R |
2.0503594694607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995618 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57850n1 |
Quadratic twists by: 5 |