Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800dc |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
784474120080000000 = 210 · 35 · 57 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3450008,-2467266012] |
[a1,a2,a3,a4,a6] |
Generators |
[-1082:300:1] |
Generators of the group modulo torsion |
j |
7033666972/1215 |
j-invariant |
L |
7.2701732722474 |
L(r)(E,1)/r! |
Ω |
0.11077685223926 |
Real period |
R |
1.6407248277058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400ct1 11760m1 58800w1 |
Quadratic twists by: -4 5 -7 |