Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2450m |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
1152960200000000 = 29 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 0 2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-224201,-40846452] |
[a1,a2,a3,a4,a6] |
j |
553463785/512 |
j-invariant |
L |
0.65824228065594 |
L(r)(E,1)/r! |
Ω |
0.21941409355198 |
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 |
19600di2 78400dv2 22050ey2 2450t2 |
Quadratic twists by: -4 8 -3 5 |