Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2450p |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-147061250 = -1 · 2 · 54 · 76 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -3 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,575] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:25:1] |
Generators of the group modulo torsion |
j |
-25/2 |
j-invariant |
L |
1.9468664329084 |
L(r)(E,1)/r! |
Ω |
1.5095649617026 |
Real period |
R |
0.64484354178195 |
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 |
19600dt1 78400ek1 22050fq1 2450v3 |
Quadratic twists by: -4 8 -3 5 |