Atkin-Lehner |
3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45675bk |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-40788916875 = -1 · 38 · 54 · 73 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -6 -6 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,375,9306] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:94:1] [-110:311:8] |
Generators of the group modulo torsion |
j |
12800000/89523 |
j-invariant |
L |
4.7127785752647 |
L(r)(E,1)/r! |
Ω |
0.83370080764403 |
Real period |
R |
0.15702337670691 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15225bb1 45675n1 |
Quadratic twists by: -3 5 |