Atkin-Lehner |
2- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85264a |
Isogeny class |
Conductor |
85264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
511488 |
Modular degree for the optimal curve |
Δ |
45250144334221312 = 212 · 737 |
Discriminant |
Eigenvalues |
2- 0 -2 2 -2 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101251,7002306] |
[a1,a2,a3,a4,a6] |
Generators |
[18980:-111909:64] [2385:115464:1] |
Generators of the group modulo torsion |
j |
185193/73 |
j-invariant |
L |
10.175879359837 |
L(r)(E,1)/r! |
Ω |
0.32687067868756 |
Real period |
R |
7.7828022085721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5329a1 1168a1 |
Quadratic twists by: -4 73 |