Atkin-Lehner |
2- 3- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105264ca |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
7784994038611968 = 222 · 310 · 17 · 432 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7636683,-8122789510] |
[a1,a2,a3,a4,a6] |
Generators |
[31625858061661750:1731039544329875496:6460837890625] |
Generators of the group modulo torsion |
j |
16494931861146393481/2607178752 |
j-invariant |
L |
9.2501711774851 |
L(r)(E,1)/r! |
Ω |
0.090818299947013 |
Real period |
R |
25.463401069982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13158s1 35088l1 |
Quadratic twists by: -4 -3 |