Atkin-Lehner |
2+ 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958j |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-238097972624116896 = -1 · 25 · 35 · 17 · 239 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 -6 -6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,29878,23404788] |
[a1,a2,a3,a4,a6] |
Generators |
[1393:51939:1] |
Generators of the group modulo torsion |
j |
19924551431/1608380064 |
j-invariant |
L |
2.0282788120601 |
L(r)(E,1)/r! |
Ω |
0.23931583771649 |
Real period |
R |
4.2376610579159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346b1 |
Quadratic twists by: -23 |