Atkin-Lehner |
2- 3+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
31992h |
Isogeny class |
Conductor |
31992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-12281856768 = -1 · 28 · 33 · 312 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-300,5796] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-62:1] |
Generators of the group modulo torsion |
j |
-11702923216/47976003 |
j-invariant |
L |
3.0991980191016 |
L(r)(E,1)/r! |
Ω |
1.1047566811828 |
Real period |
R |
0.70133045400178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63984m2 95976i2 |
Quadratic twists by: -4 -3 |