Atkin-Lehner |
2- 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123284a |
Isogeny class |
Conductor |
123284 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-8268362318591232256 = -1 · 28 · 710 · 174 · 372 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,452809,-73384850] |
[a1,a2,a3,a4,a6] |
Generators |
[487:16206:1] |
Generators of the group modulo torsion |
j |
340910719713072/274530937849 |
j-invariant |
L |
3.2142730812163 |
L(r)(E,1)/r! |
Ω |
0.12922238811783 |
Real period |
R |
4.1456607647673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999225909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17612c2 |
Quadratic twists by: -7 |