Atkin-Lehner |
2- 3- 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830cd |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2019495745440000 = 28 · 38 · 54 · 192 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31793,-285343] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:934:1] [-155:1026:1] |
Generators of the group modulo torsion |
j |
4875036903105481/2770227360000 |
j-invariant |
L |
14.854367781704 |
L(r)(E,1)/r! |
Ω |
0.38621525733825 |
Real period |
R |
2.4038356038681 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41610t2 |
Quadratic twists by: -3 |