Atkin-Lehner |
2- 3- 7+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37758r |
Isogeny class |
Conductor |
37758 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
-86994432 = -1 · 29 · 33 · 7 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -3 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8,-448] |
[a1,a2,a3,a4,a6] |
Generators |
[8:8:1] |
Generators of the group modulo torsion |
j |
56181887/86994432 |
j-invariant |
L |
11.961256356241 |
L(r)(E,1)/r! |
Ω |
0.88998878904427 |
Real period |
R |
0.49776974735976 |
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 |
113274l1 |
Quadratic twists by: -3 |