Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54910g |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3392928 |
Modular degree for the optimal curve |
Δ |
-1.929669184E+20 |
Discriminant |
Eigenvalues |
2+ -2 5+ -5 -1 -5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1111934,-806538768] |
[a1,a2,a3,a4,a6] |
Generators |
[14134:412031:8] |
Generators of the group modulo torsion |
j |
-1820390226649146649/2310400000000000 |
j-invariant |
L |
1.0838981150193 |
L(r)(E,1)/r! |
Ω |
0.070163261014666 |
Real period |
R |
7.7241144397473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54910o1 |
Quadratic twists by: 17 |