Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950dh |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
878080 |
Modular degree for the optimal curve |
Δ |
4886569597656250 = 2 · 59 · 79 · 31 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -5 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45555,1652697] |
[a1,a2,a3,a4,a6] |
j |
132651/62 |
j-invariant |
L |
1.5467012223935 |
L(r)(E,1)/r! |
Ω |
0.38667530458962 |
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 |
75950bq1 75950dn1 |
Quadratic twists by: 5 -7 |