Atkin-Lehner |
3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063l |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
653814670509 = 33 · 72 · 113 · 135 |
Discriminant |
Eigenvalues |
-1 3+ -3 7- 11- 13- 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2204,9034] |
[a1,a2,a3,a4,a6] |
Generators |
[-386:475:8] [-32:230:1] |
Generators of the group modulo torsion |
j |
894569099571/494190983 |
j-invariant |
L |
5.8367920041345 |
L(r)(E,1)/r! |
Ω |
0.78973257482327 |
Real period |
R |
0.24636154018886 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63063g1 63063d1 |
Quadratic twists by: -3 -7 |