Atkin-Lehner |
3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525g |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-189160576171875 = -1 · 33 · 510 · 72 · 114 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11- 5 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1575,661500] |
[a1,a2,a3,a4,a6] |
j |
-3025/1323 |
j-invariant |
L |
2.7611926664168 |
L(r)(E,1)/r! |
Ω |
0.46019877743038 |
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 |
63525cn1 63525s1 |
Quadratic twists by: 5 -11 |