Atkin-Lehner |
2+ 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856f |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-926177109691392 = -1 · 210 · 35 · 134 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15152,1635792] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:1482:1] |
Generators of the group modulo torsion |
j |
-375718260235972/904469833683 |
j-invariant |
L |
4.7131385943979 |
L(r)(E,1)/r! |
Ω |
0.44003376061119 |
Real period |
R |
2.6777141984808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5928h4 47424cz3 35568s3 |
Quadratic twists by: -4 8 -3 |