Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ev |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
11884290969600 = 212 · 38 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10521,-384345] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:180:1] |
Generators of the group modulo torsion |
j |
31446774334144/2901438225 |
j-invariant |
L |
8.470239762417 |
L(r)(E,1)/r! |
Ω |
0.47417676088325 |
Real period |
R |
1.1164401730208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003554 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680eb2 63840bj1 |
Quadratic twists by: -4 8 |