Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ca |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
588349440 = 215 · 33 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-766081,257828255] |
[a1,a2,a3,a4,a6] |
Generators |
[506:39:1] [569:2544:1] |
Generators of the group modulo torsion |
j |
1517394193872963848/17955 |
j-invariant |
L |
12.615014497839 |
L(r)(E,1)/r! |
Ω |
0.82360982323414 |
Real period |
R |
5.1055787772547 |
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 |
127680r4 63840bm4 |
Quadratic twists by: -4 8 |