Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720bl |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
-2.2500429524337E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2117652,7118808752] |
[a1,a2,a3,a4,a6] |
Generators |
[413436610664:29932049015903:233744896] |
Generators of the group modulo torsion |
j |
5495662324535111/117739817533440 |
j-invariant |
L |
7.0695556936549 |
L(r)(E,1)/r! |
Ω |
0.09013553037697 |
Real period |
R |
19.60812696174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720dr1 1710s1 18240x1 |
Quadratic twists by: -4 8 -3 |