Atkin-Lehner |
2- 3- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57276b |
Isogeny class |
Conductor |
57276 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-9821947128564528 = -1 · 24 · 311 · 374 · 432 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175872,28786205] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:5994:1] [283:1296:1] |
Generators of the group modulo torsion |
j |
-51578215013023744/842073656427 |
j-invariant |
L |
7.603160926261 |
L(r)(E,1)/r! |
Ω |
0.40903691064212 |
Real period |
R |
2.3234947532986 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19092b1 |
Quadratic twists by: -3 |