Atkin-Lehner |
3- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
11895h |
Isogeny class |
Conductor |
11895 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
216576 |
Modular degree for the optimal curve |
Δ |
-11302282125444375 = -1 · 33 · 54 · 13 · 616 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 -4 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1891501,-1001456320] |
[a1,a2,a3,a4,a6] |
Generators |
[23609:3609491:1] |
Generators of the group modulo torsion |
j |
-748416669822269782893649/11302282125444375 |
j-invariant |
L |
3.4436019719858 |
L(r)(E,1)/r! |
Ω |
0.064367630250849 |
Real period |
R |
5.9443300901497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35685l1 59475h1 |
Quadratic twists by: -3 5 |