Atkin-Lehner |
3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74727i |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87040 |
Modular degree for the optimal curve |
Δ |
-23806004571 = -1 · 38 · 193 · 232 |
Discriminant |
Eigenvalues |
-2 3- -3 1 -3 4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-399,8032] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-219:1] [19:85:1] |
Generators of the group modulo torsion |
j |
-1404928/4761 |
j-invariant |
L |
4.8515895730145 |
L(r)(E,1)/r! |
Ω |
1.0510497430454 |
Real period |
R |
0.57699333513239 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24909d1 74727h1 |
Quadratic twists by: -3 -19 |