Atkin-Lehner |
2+ 3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562p |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-308709273180744 = -1 · 23 · 37 · 177 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -5 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-59107,-5600122] |
[a1,a2,a3,a4,a6] |
Generators |
[874:24272:1] |
Generators of the group modulo torsion |
j |
-946098541513/12789576 |
j-invariant |
L |
7.7587842434455 |
L(r)(E,1)/r! |
Ω |
0.15297181953316 |
Real period |
R |
1.8114410750503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4386c1 |
Quadratic twists by: 17 |