Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330cy |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
880 |
Product of Tamagawa factors cp |
deg |
165580800 |
Modular degree for the optimal curve |
Δ |
-5.0681517053916E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4732700931,-125785103006655] |
[a1,a2,a3,a4,a6] |
Generators |
[262926:129506409:1] |
Generators of the group modulo torsion |
j |
-2428794565340780295912448441/10500004672634880000000 |
j-invariant |
L |
11.248866157576 |
L(r)(E,1)/r! |
Ω |
0.0090987126554247 |
Real period |
R |
5.6196092428736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410m1 |
Quadratic twists by: 13 |