Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90576bj |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-67614621696 = -1 · 214 · 38 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 3 -3 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,-12494] |
[a1,a2,a3,a4,a6] |
Generators |
[23:54:1] |
Generators of the group modulo torsion |
j |
103823/22644 |
j-invariant |
L |
5.604421754981 |
L(r)(E,1)/r! |
Ω |
0.51760052711359 |
Real period |
R |
1.3534621431538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11322g1 30192bh1 |
Quadratic twists by: -4 -3 |