Atkin-Lehner |
2+ 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
42210c |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1746777939007500 = -1 · 22 · 33 · 54 · 78 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,29946,-262640] |
[a1,a2,a3,a4,a6] |
Generators |
[266:-5278:1] [14:392:1] |
Generators of the group modulo torsion |
j |
109993811380445637/64695479222500 |
j-invariant |
L |
7.2377446562095 |
L(r)(E,1)/r! |
Ω |
0.27683897822219 |
Real period |
R |
0.40850374820603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42210n2 |
Quadratic twists by: -3 |