Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
4450a |
Isogeny class |
Conductor |
4450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-139062500000 = -1 · 25 · 511 · 89 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -3 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,249,17898] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:96:1] |
Generators of the group modulo torsion |
j |
109902239/8900000 |
j-invariant |
L |
3.3743886246752 |
L(r)(E,1)/r! |
Ω |
0.79150091362463 |
Real period |
R |
2.1316391216925 |
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 |
35600s1 40050bg1 890g1 |
Quadratic twists by: -4 -3 5 |