Atkin-Lehner |
2+ 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9282f |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8208 |
Modular degree for the optimal curve |
Δ |
-21898985472 = -1 · 219 · 33 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1585,24661] |
[a1,a2,a3,a4,a6] |
j |
-440797954857625/21898985472 |
j-invariant |
L |
1.1941488024722 |
L(r)(E,1)/r! |
Ω |
1.1941488024722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74256cs1 27846bl1 64974p1 120666bh1 |
Quadratic twists by: -4 -3 -7 13 |