Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675bl |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-21439674432421875 = -1 · 38 · 58 · 73 · 293 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 0 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-93000,12992031] |
[a1,a2,a3,a4,a6] |
Generators |
[-331:2740:1] |
Generators of the group modulo torsion |
j |
-312381276160/75288843 |
j-invariant |
L |
4.718718706664 |
L(r)(E,1)/r! |
Ω |
0.36465328627627 |
Real period |
R |
1.0783573703745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
15225y2 45675o2 |
Quadratic twists by: -3 5 |