Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2450b |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-1500625000 = -1 · 23 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 3 -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-1875] |
[a1,a2,a3,a4,a6] |
Generators |
[15:30:1] |
Generators of the group modulo torsion |
j |
-49/40 |
j-invariant |
L |
3.2003822560958 |
L(r)(E,1)/r! |
Ω |
0.68034568892519 |
Real period |
R |
1.1760132783202 |
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 |
19600bx1 78400n1 22050du1 490e1 |
Quadratic twists by: -4 8 -3 5 |