Atkin-Lehner |
41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89093b |
Isogeny class |
Conductor |
89093 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3306240 |
Modular degree for the optimal curve |
Δ |
17351242522879933 = 419 · 53 |
Discriminant |
Eigenvalues |
2 1 4 -2 0 6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4801496,4048002823] |
[a1,a2,a3,a4,a6] |
Generators |
[308884566499898236297970:846643009877752520630037:255169447738504417000] |
Generators of the group modulo torsion |
j |
37393731584/53 |
j-invariant |
L |
20.705163369085 |
L(r)(E,1)/r! |
Ω |
0.33072118855839 |
Real period |
R |
31.303049343979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89093e1 |
Quadratic twists by: 41 |