Atkin-Lehner |
2- 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382bm |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
65 |
Product of Tamagawa factors cp |
deg |
18018000 |
Modular degree for the optimal curve |
Δ |
-1.0613469223924E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-156040599,-751896009495] |
[a1,a2,a3,a4,a6] |
j |
-3571480626044740843224673/9021299988885921792 |
j-invariant |
L |
1.3880585923045 |
L(r)(E,1)/r! |
Ω |
0.021354747566419 |
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 |
1518k1 |
Quadratic twists by: -7 |