Atkin-Lehner |
3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
65025bz |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
29960876538675 = 315 · 52 · 174 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 4 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7857,-48114] |
[a1,a2,a3,a4,a6] |
Generators |
[5940:5049:64] |
Generators of the group modulo torsion |
j |
35242105/19683 |
j-invariant |
L |
8.9070866901439 |
L(r)(E,1)/r! |
Ω |
0.54447481737606 |
Real period |
R |
4.089760630546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000483 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21675t1 65025cl1 65025bl1 |
Quadratic twists by: -3 5 17 |