Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968dh |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6598456221301604352 = 217 · 38 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-508035,64432258] |
[a1,a2,a3,a4,a6] |
Generators |
[737:9504:1] |
Generators of the group modulo torsion |
j |
3648707754875/1660262688 |
j-invariant |
L |
5.9776353684608 |
L(r)(E,1)/r! |
Ω |
0.21274528947039 |
Real period |
R |
1.756100969141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246n2 40656bz2 121968fa2 |
Quadratic twists by: -4 -3 -11 |