Atkin-Lehner |
2- 3+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
63756b |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-30799937299824 = -1 · 24 · 39 · 75 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11+ -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8721,411777] |
[a1,a2,a3,a4,a6] |
Generators |
[3:621:1] |
Generators of the group modulo torsion |
j |
-232922421504/97799933 |
j-invariant |
L |
7.5041794972444 |
L(r)(E,1)/r! |
Ω |
0.61847235818088 |
Real period |
R |
1.0111176079904 |
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 |
63756d1 |
Quadratic twists by: -3 |