Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496bp |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-679985152 = -1 · 214 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47,1233] |
[a1,a2,a3,a4,a6] |
Generators |
[9:48:1] |
Generators of the group modulo torsion |
j |
2000/121 |
j-invariant |
L |
7.9202973885377 |
L(r)(E,1)/r! |
Ω |
1.228267910478 |
Real period |
R |
1.6120866874751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496cu2 4312j2 34496bs2 |
Quadratic twists by: -4 8 -7 |