Atkin-Lehner |
3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63945w |
Isogeny class |
Conductor |
63945 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1233970786652625 = -1 · 310 · 53 · 78 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -3 0 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14342,1818366] |
[a1,a2,a3,a4,a6] |
Generators |
[86:-1146:1] |
Generators of the group modulo torsion |
j |
-77626969/293625 |
j-invariant |
L |
3.5372477830458 |
L(r)(E,1)/r! |
Ω |
0.4240281238241 |
Real period |
R |
0.46344512232972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21315a1 63945o1 |
Quadratic twists by: -3 -7 |