Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063bg |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-5384211291459 = -1 · 310 · 73 · 112 · 133 |
Discriminant |
Eigenvalues |
2 3- 3 7- 11- 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17031,-862731] |
[a1,a2,a3,a4,a6] |
Generators |
[1666:17195:8] |
Generators of the group modulo torsion |
j |
-2184854450176/21532797 |
j-invariant |
L |
16.303128630577 |
L(r)(E,1)/r! |
Ω |
0.20883548638062 |
Real period |
R |
3.2527854247092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21021m1 63063v1 |
Quadratic twists by: -3 -7 |