Atkin-Lehner |
41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
75809g |
Isogeny class |
Conductor |
75809 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
325248 |
Modular degree for the optimal curve |
Δ |
14764126748644729 = 418 · 432 |
Discriminant |
Eigenvalues |
-1 -1 1 -3 0 3 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85630,-7706622] |
[a1,a2,a3,a4,a6] |
j |
37554756465361129/7984925229121 |
j-invariant |
L |
0.56657780587386 |
L(r)(E,1)/r! |
Ω |
0.28328888934491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75809c1 |
Quadratic twists by: -43 |