Atkin-Lehner |
3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
91575br |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-31733313046875 = -1 · 36 · 57 · 11 · 373 |
Discriminant |
Eigenvalues |
-2 3- 5+ -3 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10575,498656] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:912:1] [270:4162:1] |
Generators of the group modulo torsion |
j |
-11481993216/2785915 |
j-invariant |
L |
5.2090591638815 |
L(r)(E,1)/r! |
Ω |
0.62748497287978 |
Real period |
R |
0.34589534601278 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10175g1 18315m1 |
Quadratic twists by: -3 5 |