Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93288ba |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-135933181380142848 = -1 · 28 · 314 · 136 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13+ 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-491508,133975620] |
[a1,a2,a3,a4,a6] |
Generators |
[464:2366:1] |
Generators of the group modulo torsion |
j |
-10627137250000/110008287 |
j-invariant |
L |
6.2487911501124 |
L(r)(E,1)/r! |
Ω |
0.32941125441595 |
Real period |
R |
2.3711967448398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
552b1 |
Quadratic twists by: 13 |