Atkin-Lehner |
3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
56265ba |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-9305773846875 = -1 · 38 · 55 · 114 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 11- -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-19400,1043906] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-338:1] [-125:1237:1] |
Generators of the group modulo torsion |
j |
-55154448633856/635596875 |
j-invariant |
L |
6.1097644602671 |
L(r)(E,1)/r! |
Ω |
0.73214327128539 |
Real period |
R |
0.069541995170142 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56265z1 |
Quadratic twists by: -11 |