Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722du |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
655360 |
Modular degree for the optimal curve |
Δ |
-574093673323632 = -1 · 24 · 310 · 73 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2700,1150848] |
[a1,a2,a3,a4,a6] |
j |
4913/1296 |
j-invariant |
L |
3.2037556547056 |
L(r)(E,1)/r! |
Ω |
0.40046945078376 |
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 |
35574di1 106722dy1 882k1 |
Quadratic twists by: -3 -7 -11 |