Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184c |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1648630444032 = 212 · 39 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11+ 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16956,847584] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:1188:1] |
Generators of the group modulo torsion |
j |
6687175104/20449 |
j-invariant |
L |
4.8059069870464 |
L(r)(E,1)/r! |
Ω |
0.84550871837647 |
Real period |
R |
1.4210104764723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41184w2 82368k1 41184v2 |
Quadratic twists by: -4 8 -3 |