Atkin-Lehner |
5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63175r |
Isogeny class |
Conductor |
63175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-643205404296875 = -1 · 59 · 7 · 196 |
Discriminant |
Eigenvalues |
-2 -1 5- 7+ -3 -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,15042,987318] |
[a1,a2,a3,a4,a6] |
Generators |
[792:22562:1] |
Generators of the group modulo torsion |
j |
4096/7 |
j-invariant |
L |
1.9758296125373 |
L(r)(E,1)/r! |
Ω |
0.35076557070117 |
Real period |
R |
1.4082265891333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63175y1 175c1 |
Quadratic twists by: 5 -19 |