Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400jr |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
1482933427200000000 = 216 · 32 · 58 · 235 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 -7 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-296833,-21121537] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:6348:1] |
Generators of the group modulo torsion |
j |
112985250820/57927087 |
j-invariant |
L |
6.0721957845844 |
L(r)(E,1)/r! |
Ω |
0.21611498049943 |
Real period |
R |
1.4048530509777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400bx1 27600q1 110400ft1 |
Quadratic twists by: -4 8 5 |