Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
101080w |
Isogeny class |
Conductor |
101080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
566691227331568640 = 210 · 5 · 73 · 199 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90592208867,-10495046981525234] |
[a1,a2,a3,a4,a6] |
Generators |
[35385836874579372816477451756215905456160003150930:-14196402244364564679613137533242192500893683372995577:82468205943261823095917220007443845638240968] |
Generators of the group modulo torsion |
j |
1706768805632178182685889284/11763185 |
j-invariant |
L |
8.2941451718153 |
L(r)(E,1)/r! |
Ω |
0.0087021555588901 |
Real period |
R |
79.4261559266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5320e4 |
Quadratic twists by: -19 |