Atkin-Lehner |
3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
26499h |
Isogeny class |
Conductor |
26499 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-3491746731 = -1 · 33 · 116 · 73 |
Discriminant |
Eigenvalues |
0 3- -3 4 11- 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,323,-1655] |
[a1,a2,a3,a4,a6] |
Generators |
[29:181:1] |
Generators of the group modulo torsion |
j |
2097152/1971 |
j-invariant |
L |
5.2439549079691 |
L(r)(E,1)/r! |
Ω |
0.76939062057779 |
Real period |
R |
0.56797708555713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79497f1 219b1 |
Quadratic twists by: -3 -11 |