Atkin-Lehner |
3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20181i |
Isogeny class |
Conductor |
20181 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
274195086735869649 = 38 · 72 · 318 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-200869,23706866] |
[a1,a2,a3,a4,a6] |
Generators |
[20127:448843:27] |
Generators of the group modulo torsion |
j |
1009932705937/308950929 |
j-invariant |
L |
2.2856585486117 |
L(r)(E,1)/r! |
Ω |
0.2866191310331 |
Real period |
R |
7.9745498507836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60543p2 651d2 |
Quadratic twists by: -3 -31 |