Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
9270h |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-4926458070 = -1 · 2 · 314 · 5 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -5 -3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,396,1390] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:32:1] |
Generators of the group modulo torsion |
j |
9407293631/6757830 |
j-invariant |
L |
3.4330817332318 |
L(r)(E,1)/r! |
Ω |
0.86872035885102 |
Real period |
R |
1.9759417966055 |
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 |
74160bx1 3090g1 46350cd1 |
Quadratic twists by: -4 -3 5 |