Atkin-Lehner |
2- 3+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562w |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
12454985604 = 22 · 3 · 176 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-584,581] |
[a1,a2,a3,a4,a6] |
Generators |
[280264:6417889:512] |
Generators of the group modulo torsion |
j |
912673/516 |
j-invariant |
L |
8.3389956875418 |
L(r)(E,1)/r! |
Ω |
1.0900184673562 |
Real period |
R |
7.650325141713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002153 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
258g1 |
Quadratic twists by: 17 |