Atkin-Lehner |
2- 3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
57936t |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-118601884459597824 = -1 · 219 · 37 · 172 · 713 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -3 -6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-516296,143575668] |
[a1,a2,a3,a4,a6] |
Generators |
[-674:13632:1] [604:7242:1] |
Generators of the group modulo torsion |
j |
-3715873205721319369/28955538198144 |
j-invariant |
L |
10.536681735409 |
L(r)(E,1)/r! |
Ω |
0.33342671296686 |
Real period |
R |
0.18810233620772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242b1 |
Quadratic twists by: -4 |