Atkin-Lehner |
2+ 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9384b |
Isogeny class |
Conductor |
9384 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7360 |
Modular degree for the optimal curve |
Δ |
25080354048 = 28 · 3 · 175 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 0 7 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-953,-8067] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:34:1] |
Generators of the group modulo torsion |
j |
374298496000/97970133 |
j-invariant |
L |
4.398684546751 |
L(r)(E,1)/r! |
Ω |
0.87588094377025 |
Real period |
R |
0.25110059637882 |
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 |
18768d1 75072bu1 28152p1 |
Quadratic twists by: -4 8 -3 |