Atkin-Lehner |
3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74727s |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-1.0079770123194E+19 |
Discriminant |
Eigenvalues |
-2 3- 3 1 -1 0 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,57399,152659048] |
[a1,a2,a3,a4,a6] |
j |
609800192/293901291 |
j-invariant |
L |
1.4255653466131 |
L(r)(E,1)/r! |
Ω |
0.17819567297114 |
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 |
24909g1 3933f1 |
Quadratic twists by: -3 -19 |