Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2450f |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-1152960200 = -1 · 23 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,219,-1032] |
[a1,a2,a3,a4,a6] |
j |
397535/392 |
j-invariant |
L |
1.6808812022756 |
L(r)(E,1)/r! |
Ω |
0.84044060113781 |
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 |
19600ck1 78400bu1 22050ei1 2450bf1 |
Quadratic twists by: -4 8 -3 5 |