Atkin-Lehner |
2+ 3- 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330x |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
1204256252897280000 = 214 · 39 · 54 · 113 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4185639,-3294557955] |
[a1,a2,a3,a4,a6] |
j |
11124526857605392706929/1651929016320000 |
j-invariant |
L |
2.5332276393099 |
L(r)(E,1)/r! |
Ω |
0.10555115193911 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110o1 |
Quadratic twists by: -3 |