Atkin-Lehner |
2- 3+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
63756h |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
715392 |
Modular degree for the optimal curve |
Δ |
-595836163215216 = -1 · 24 · 33 · 7 · 113 · 236 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-812409,281847361] |
[a1,a2,a3,a4,a6] |
j |
-137266368167151085824/1379250377813 |
j-invariant |
L |
1.8643554206078 |
L(r)(E,1)/r! |
Ω |
0.46608885655241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63756k2 |
Quadratic twists by: -3 |