Atkin-Lehner |
2- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
63650f |
Isogeny class |
Conductor |
63650 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
-153950255000000 = -1 · 26 · 57 · 193 · 672 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13395,13397] |
[a1,a2,a3,a4,a6] |
Generators |
[179:2760:1] |
Generators of the group modulo torsion |
j |
17012268769959/9852816320 |
j-invariant |
L |
7.7728962721266 |
L(r)(E,1)/r! |
Ω |
0.3459390564556 |
Real period |
R |
0.62413821539582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12730d1 |
Quadratic twists by: 5 |