Atkin-Lehner |
5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63175s |
Isogeny class |
Conductor |
63175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
104024323626125 = 53 · 72 · 198 |
Discriminant |
Eigenvalues |
0 2 5- 7- -5 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-22863,-1229222] |
[a1,a2,a3,a4,a6] |
Generators |
[176:409:1] |
Generators of the group modulo torsion |
j |
622592/49 |
j-invariant |
L |
7.1698145697083 |
L(r)(E,1)/r! |
Ω |
0.39018993788624 |
Real period |
R |
4.5937977081098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63175o1 63175u1 |
Quadratic twists by: 5 -19 |