Atkin-Lehner |
2+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20672m |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-72596094976 = -1 · 215 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 -4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,244,-12880] |
[a1,a2,a3,a4,a6] |
Generators |
[22:56:1] [56:420:1] |
Generators of the group modulo torsion |
j |
49027896/2215457 |
j-invariant |
L |
6.4957250918116 |
L(r)(E,1)/r! |
Ω |
0.52390229668062 |
Real period |
R |
6.1993668790611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20672r4 10336d4 |
Quadratic twists by: -4 8 |