Atkin-Lehner |
2- 3+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73950cb |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1357722000000000 = 210 · 34 · 59 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42688,2877281] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:2277:1] |
Generators of the group modulo torsion |
j |
550581666106681/86894208000 |
j-invariant |
L |
8.9313241747158 |
L(r)(E,1)/r! |
Ω |
0.46066233590504 |
Real period |
R |
0.48470015219392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790l1 |
Quadratic twists by: 5 |