Atkin-Lehner |
2+ 3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
95874a |
Isogeny class |
Conductor |
95874 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
19529239275072 = 26 · 33 · 19 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 0 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6745,13477] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:434:1] |
Generators of the group modulo torsion |
j |
57066625/32832 |
j-invariant |
L |
1.3901025537804 |
L(r)(E,1)/r! |
Ω |
0.58473061194772 |
Real period |
R |
1.1886692134527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114a1 |
Quadratic twists by: 29 |