Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752by |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-304894062807220224 = -1 · 222 · 39 · 133 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 4 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,114981,-21921910] |
[a1,a2,a3,a4,a6] |
j |
56300788871783/102108404736 |
j-invariant |
L |
1.2851585632917 |
L(r)(E,1)/r! |
Ω |
0.16064482718818 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9594u1 25584m1 |
Quadratic twists by: -4 -3 |