Atkin-Lehner |
2+ 3- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
110448o |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072000 |
Modular degree for the optimal curve |
Δ |
-9.9469327265514E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4919619,4227284050] |
[a1,a2,a3,a4,a6] |
Generators |
[59575583:1455350940:29791] |
Generators of the group modulo torsion |
j |
-17639677367010526468/133248305771919 |
j-invariant |
L |
9.2471200705892 |
L(r)(E,1)/r! |
Ω |
0.19027757085288 |
Real period |
R |
12.149514014804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55224s1 36816i1 |
Quadratic twists by: -4 -3 |