Atkin-Lehner |
41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
75809b |
Isogeny class |
Conductor |
75809 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
370832 |
Modular degree for the optimal curve |
Δ |
-20606297089410563 = -1 · 41 · 439 |
Discriminant |
Eigenvalues |
0 -1 -2 3 0 4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-106009,-14937746] |
[a1,a2,a3,a4,a6] |
Generators |
[3702116840842:140525303514769:2438569736] |
Generators of the group modulo torsion |
j |
-262144/41 |
j-invariant |
L |
4.2529003271352 |
L(r)(E,1)/r! |
Ω |
0.13116270865944 |
Real period |
R |
16.212307486642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75809a1 |
Quadratic twists by: -43 |