Atkin-Lehner |
2- 3+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
73326y |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-239556042 = -1 · 2 · 34 · 114 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 11- 2 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,58,749] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:203:8] |
Generators of the group modulo torsion |
j |
1472207/16362 |
j-invariant |
L |
10.392672305783 |
L(r)(E,1)/r! |
Ω |
1.2962202183995 |
Real period |
R |
1.336279149355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73326g1 |
Quadratic twists by: -11 |