Atkin-Lehner |
41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
75809a |
Isogeny class |
Conductor |
75809 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8624 |
Modular degree for the optimal curve |
Δ |
-3259787 = -1 · 41 · 433 |
Discriminant |
Eigenvalues |
0 1 2 -3 0 4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-57,169] |
[a1,a2,a3,a4,a6] |
Generators |
[26:39:8] |
Generators of the group modulo torsion |
j |
-262144/41 |
j-invariant |
L |
6.2392020884091 |
L(r)(E,1)/r! |
Ω |
2.4282051089573 |
Real period |
R |
1.2847353929923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75809b1 |
Quadratic twists by: -43 |