Atkin-Lehner |
5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63175g |
Isogeny class |
Conductor |
63175 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
109080 |
Modular degree for the optimal curve |
Δ |
24677734375 = 510 · 7 · 192 |
Discriminant |
Eigenvalues |
1 -3 5+ 7+ -6 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-742,2041] |
[a1,a2,a3,a4,a6] |
j |
12825/7 |
j-invariant |
L |
1.0410639105224 |
L(r)(E,1)/r! |
Ω |
1.0410639129195 |
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 |
63175x1 63175a1 |
Quadratic twists by: 5 -19 |