Atkin-Lehner |
2+ 3+ 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
110952a |
Isogeny class |
Conductor |
110952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46848 |
Modular degree for the optimal curve |
Δ |
-485304048 = -1 · 24 · 39 · 23 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 -4 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189,351] |
[a1,a2,a3,a4,a6] |
Generators |
[15:81:1] |
Generators of the group modulo torsion |
j |
2370816/1541 |
j-invariant |
L |
5.0271253217933 |
L(r)(E,1)/r! |
Ω |
1.0364464666791 |
Real period |
R |
1.212586835631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999134048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110952c1 |
Quadratic twists by: -3 |