Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360bg |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-885627924480 = -1 · 212 · 39 · 5 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1728,-35856] |
[a1,a2,a3,a4,a6] |
j |
7077888/10985 |
j-invariant |
L |
2.8121561200102 |
L(r)(E,1)/r! |
Ω |
0.46869268666837 |
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 |
585d2 37440cy2 9360ba1 46800bx2 |
Quadratic twists by: -4 8 -3 5 |