Atkin-Lehner |
2- 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
97088n |
Isogeny class |
Conductor |
97088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
3678470144 = 216 · 372 · 41 |
Discriminant |
Eigenvalues |
2- -2 -2 0 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-449,-2369] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:37:1] |
Generators of the group modulo torsion |
j |
153091012/56129 |
j-invariant |
L |
2.7216112208151 |
L(r)(E,1)/r! |
Ω |
1.0688419507185 |
Real period |
R |
1.2731588801298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999220685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97088h1 24272a1 |
Quadratic twists by: -4 8 |