Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2450q |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
9800000000 = 29 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 -2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4575,117125] |
[a1,a2,a3,a4,a6] |
Generators |
[35:20:1] |
Generators of the group modulo torsion |
j |
553463785/512 |
j-invariant |
L |
3.1892780398163 |
L(r)(E,1)/r! |
Ω |
1.283571686815 |
Real period |
R |
0.82823007928496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19600dy2 78400fk2 22050fh2 2450x2 |
Quadratic twists by: -4 8 -3 5 |