Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968bj |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.286101049656E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2269839,-1304899090] |
[a1,a2,a3,a4,a6] |
Generators |
[2807554941035:86901179832000:1256216039] |
Generators of the group modulo torsion |
j |
3911877700432/38900169 |
j-invariant |
L |
8.8704725065922 |
L(r)(E,1)/r! |
Ω |
0.12307265184299 |
Real period |
R |
18.01877254449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029951 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60984cg2 40656l2 11088v2 |
Quadratic twists by: -4 -3 -11 |