Atkin-Lehner |
7- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
9373d |
Isogeny class |
Conductor |
9373 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1376 |
Modular degree for the optimal curve |
Δ |
-65611 = -1 · 72 · 13 · 103 |
Discriminant |
Eigenvalues |
-2 -2 1 7- 0 13- 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,0,12] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
-4096/65611 |
j-invariant |
L |
1.8286921343985 |
L(r)(E,1)/r! |
Ω |
2.7855232290962 |
Real period |
R |
0.32824930614415 |
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 |
84357j1 65611d1 121849c1 |
Quadratic twists by: -3 -7 13 |