Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408ce |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
4269246912 = 26 · 34 · 77 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-604,4978] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:98:1] |
Generators of the group modulo torsion |
j |
3241792/567 |
j-invariant |
L |
2.6540494579711 |
L(r)(E,1)/r! |
Ω |
1.3187798420245 |
Real period |
R |
1.0062519055101 |
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 |
9408da1 4704bd3 28224fu1 1344s1 |
Quadratic twists by: -4 8 -3 -7 |