Atkin-Lehner |
2+ 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93138k |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-382238352 = -1 · 24 · 34 · 193 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 2 -2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-46,944] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:17:1] [-8:32:1] |
Generators of the group modulo torsion |
j |
-1520875/55728 |
j-invariant |
L |
9.3940822852449 |
L(r)(E,1)/r! |
Ω |
1.4088250790739 |
Real period |
R |
0.41675162628402 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93138u1 |
Quadratic twists by: -19 |