Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ca |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1320476774400 = 212 · 36 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47881,4016375] |
[a1,a2,a3,a4,a6] |
Generators |
[146:-399:1] [-118:2835:1] |
Generators of the group modulo torsion |
j |
2963892656833984/322382025 |
j-invariant |
L |
12.615014497839 |
L(r)(E,1)/r! |
Ω |
0.82360982323414 |
Real period |
R |
1.2763946943137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999961245 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680r2 63840bm1 |
Quadratic twists by: -4 8 |