Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440bf |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
16367422999200000 = 28 · 3 · 55 · 79 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1077820,430289600] |
[a1,a2,a3,a4,a6] |
j |
13404187799728/1584375 |
j-invariant |
L |
3.7615656187621 |
L(r)(E,1)/r! |
Ω |
0.37615655747641 |
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 |
76440j1 |
Quadratic twists by: -7 |