Atkin-Lehner |
2+ 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
29784a |
Isogeny class |
Conductor |
29784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-59568 = -1 · 24 · 3 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 -2 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] [7:17:1] |
Generators of the group modulo torsion |
j |
2048/3723 |
j-invariant |
L |
6.3880948508022 |
L(r)(E,1)/r! |
Ω |
1.632222905012 |
Real period |
R |
1.9568696258297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59568j1 89352s1 |
Quadratic twists by: -4 -3 |