Atkin-Lehner |
2- 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
57528i |
Isogeny class |
Conductor |
57528 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-205328017152 = -1 · 28 · 310 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1695,34594] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:216:1] [-15:238:1] |
Generators of the group modulo torsion |
j |
-2885794000/1100223 |
j-invariant |
L |
9.9013417268501 |
L(r)(E,1)/r! |
Ω |
0.94189633383121 |
Real period |
R |
1.3140169160887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115056d1 19176b1 |
Quadratic twists by: -4 -3 |