Atkin-Lehner |
2- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1984h |
Isogeny class |
Conductor |
1984 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-31744 = -1 · 210 · 31 |
Discriminant |
Eigenvalues |
2- -2 3 1 -6 -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9,-17] |
[a1,a2,a3,a4,a6] |
j |
-87808/31 |
j-invariant |
L |
1.3418954689172 |
L(r)(E,1)/r! |
Ω |
1.3418954689172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1984f1 496d1 17856bw1 49600bs1 |
Quadratic twists by: -4 8 -3 5 |