Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063bb |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
125440 |
Modular degree for the optimal curve |
Δ |
-1570542456483 = -1 · 37 · 73 · 115 · 13 |
Discriminant |
Eigenvalues |
0 3- -4 7- 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-16212,796801] |
[a1,a2,a3,a4,a6] |
Generators |
[49:346:1] |
Generators of the group modulo torsion |
j |
-1884568158208/6280989 |
j-invariant |
L |
3.3480034121052 |
L(r)(E,1)/r! |
Ω |
0.84924320076614 |
Real period |
R |
0.19711688061019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21021f1 63063s1 |
Quadratic twists by: -3 -7 |