Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
40572a |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-78054407906598144 = -1 · 28 · 33 · 79 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175959,-31429090] |
[a1,a2,a3,a4,a6] |
Generators |
[95957073468179198990:-4091660000063067877115:50017449003980536] |
Generators of the group modulo torsion |
j |
-2160091152/279841 |
j-invariant |
L |
6.9842838887129 |
L(r)(E,1)/r! |
Ω |
0.11571453492143 |
Real period |
R |
30.17893946277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40572i2 40572b2 |
Quadratic twists by: -3 -7 |