Atkin-Lehner |
2+ 3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
73326o |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-79852014 = -1 · 2 · 33 · 114 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-487,4112] |
[a1,a2,a3,a4,a6] |
Generators |
[820:-133:64] |
Generators of the group modulo torsion |
j |
-869875897/5454 |
j-invariant |
L |
7.9059115242968 |
L(r)(E,1)/r! |
Ω |
1.9381973275999 |
Real period |
R |
4.0790023857233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001283 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
73326bo1 |
Quadratic twists by: -11 |