Atkin-Lehner |
5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9775f |
Isogeny class |
Conductor |
9775 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-1624360625 = -1 · 54 · 173 · 232 |
Discriminant |
Eigenvalues |
-1 -3 5- 1 -4 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7230,238422] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:510:1] [793150:-678674:15625] |
Generators of the group modulo torsion |
j |
-66865526921025/2598977 |
j-invariant |
L |
2.5917814785817 |
L(r)(E,1)/r! |
Ω |
1.4060373525771 |
Real period |
R |
0.10240685260412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87975bg1 9775a1 |
Quadratic twists by: -3 5 |