Atkin-Lehner |
3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45675n |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-637326826171875 = -1 · 38 · 510 · 73 · 29 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ -6 6 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,9375,1163281] |
[a1,a2,a3,a4,a6] |
j |
12800000/89523 |
j-invariant |
L |
1.4913693426142 |
L(r)(E,1)/r! |
Ω |
0.3728423357577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15225c1 45675bk1 |
Quadratic twists by: -3 5 |