Atkin-Lehner |
2- 5- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71440k |
Isogeny class |
Conductor |
71440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4608000 |
Modular degree for the optimal curve |
Δ |
-8.3942E+20 |
Discriminant |
Eigenvalues |
2- -3 5- 1 -2 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3683827,3057658546] |
[a1,a2,a3,a4,a6] |
Generators |
[4647:293750:1] |
Generators of the group modulo torsion |
j |
-1349775199120665517641/204936523437500000 |
j-invariant |
L |
3.4675808371718 |
L(r)(E,1)/r! |
Ω |
0.15301132063875 |
Real period |
R |
0.35409765982525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8930h1 |
Quadratic twists by: -4 |