Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ca |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3972105335439360 = 215 · 312 · 5 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51681,3337695] |
[a1,a2,a3,a4,a6] |
Generators |
[231:1944:1] [-105:2760:1] |
Generators of the group modulo torsion |
j |
465880900040648/121219034895 |
j-invariant |
L |
12.615014497839 |
L(r)(E,1)/r! |
Ω |
0.41180491161707 |
Real period |
R |
1.2763946943137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999961245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680r3 63840bm3 |
Quadratic twists by: -4 8 |