Atkin-Lehner |
5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
10325a |
Isogeny class |
Conductor |
10325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
197626953125 = 510 · 73 · 59 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-747083,-248294057] |
[a1,a2,a3,a4,a6] |
j |
4722052511334400/20237 |
j-invariant |
L |
1.4615033065864 |
L(r)(E,1)/r! |
Ω |
0.16238925628737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92925e2 10325f2 72275d2 |
Quadratic twists by: -3 5 -7 |