Atkin-Lehner |
2+ 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610a |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-5.4709427996028E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,948932,7591888] |
[a1,a2,a3,a4,a6] |
Generators |
[19:5053:1] |
Generators of the group modulo torsion |
j |
19577992591125359/11334492000000 |
j-invariant |
L |
2.6989867462514 |
L(r)(E,1)/r! |
Ω |
0.11912233943097 |
Real period |
R |
2.8321584440649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000112197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970m1 |
Quadratic twists by: 13 |