Atkin-Lehner |
2- 3- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65424r |
Isogeny class |
Conductor |
65424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2914246656 = 213 · 32 · 292 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7992,272340] |
[a1,a2,a3,a4,a6] |
Generators |
[78:360:1] |
Generators of the group modulo torsion |
j |
13784294075833/711486 |
j-invariant |
L |
9.6877895314747 |
L(r)(E,1)/r! |
Ω |
1.3484321571156 |
Real period |
R |
1.796121050728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8178c2 |
Quadratic twists by: -4 |