Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34848b |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-107307307008 = -1 · 212 · 39 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1188,0] |
[a1,a2,a3,a4,a6] |
Generators |
[16:152:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
3.8959249666006 |
L(r)(E,1)/r! |
Ω |
0.63161597812301 |
Real period |
R |
3.0840931052584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34848b2 69696dz1 34848bg2 34848bh2 |
Quadratic twists by: -4 8 -3 -11 |