Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650bu |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-3808062832000000 = -1 · 210 · 56 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,38562,581531] |
[a1,a2,a3,a4,a6] |
Generators |
[111:2443:1] |
Generators of the group modulo torsion |
j |
3449795831/2071552 |
j-invariant |
L |
12.111817174627 |
L(r)(E,1)/r! |
Ω |
0.27062116820449 |
Real period |
R |
1.1188904082219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1666g1 5950n1 |
Quadratic twists by: 5 -7 |