Atkin-Lehner |
2+ 3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562o |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-461687904 = -1 · 25 · 33 · 172 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 -3 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-287,-2158] |
[a1,a2,a3,a4,a6] |
Generators |
[90:793:1] |
Generators of the group modulo torsion |
j |
-9001077193/1597536 |
j-invariant |
L |
6.8724093189538 |
L(r)(E,1)/r! |
Ω |
0.57464811919281 |
Real period |
R |
1.9932224871141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74562h1 |
Quadratic twists by: 17 |