Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2450a |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
504 |
Modular degree for the optimal curve |
Δ |
7683200 = 27 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -2 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-107,-379] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] |
Generators of the group modulo torsion |
j |
2268945/128 |
j-invariant |
L |
2.2987591183418 |
L(r)(E,1)/r! |
Ω |
1.4889805975421 |
Real period |
R |
0.51461586585624 |
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 |
19600br1 78400a1 22050ds1 2450ba1 |
Quadratic twists by: -4 8 -3 5 |