Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650bj |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-16326800 = -1 · 24 · 52 · 74 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1373,19011] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-10:1] |
Generators of the group modulo torsion |
j |
-4768951705/272 |
j-invariant |
L |
7.1664071535394 |
L(r)(E,1)/r! |
Ω |
2.0820224192671 |
Real period |
R |
0.86051032486752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41650u1 41650br1 |
Quadratic twists by: 5 -7 |