Atkin-Lehner |
2+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850c |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4766675475078125000 = 23 · 510 · 74 · 714 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-795317,-251780659] |
[a1,a2,a3,a4,a6] |
j |
3560613140054061729/305067230405000 |
j-invariant |
L |
0.64296754728149 |
L(r)(E,1)/r! |
Ω |
0.16074188682045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4970g3 |
Quadratic twists by: 5 |