Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dg |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
30800250000 = 24 · 36 · 56 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2613,-50713] |
[a1,a2,a3,a4,a6] |
Generators |
[1886:81875:1] |
Generators of the group modulo torsion |
j |
1000939264/15625 |
j-invariant |
L |
6.8757227803288 |
L(r)(E,1)/r! |
Ω |
0.66838324034669 |
Real period |
R |
5.1435482388064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998587246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30420f2 13520z2 121680er2 |
Quadratic twists by: -4 -3 13 |