Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290ed |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-1037575000 = -1 · 23 · 55 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-727,7879] |
[a1,a2,a3,a4,a6] |
Generators |
[37:156:1] |
Generators of the group modulo torsion |
j |
-1022556447/25000 |
j-invariant |
L |
10.09837372652 |
L(r)(E,1)/r! |
Ω |
1.5544204758999 |
Real period |
R |
0.21655173922853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290cs1 59290bq1 |
Quadratic twists by: -7 -11 |