Atkin-Lehner |
2+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55594c |
Isogeny class |
Conductor |
55594 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-2.1834016472004E+19 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,698287,9778909] |
[a1,a2,a3,a4,a6] |
Generators |
[22995:2575609:343] |
Generators of the group modulo torsion |
j |
800393636529423/464100491008 |
j-invariant |
L |
3.0559292634553 |
L(r)(E,1)/r! |
Ω |
0.12900888000149 |
Real period |
R |
5.9219358843083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2926a1 |
Quadratic twists by: -19 |