Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
102240h |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10732746240000 = 212 · 310 · 54 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-276348,-55915328] |
[a1,a2,a3,a4,a6] |
Generators |
[-123187970940:213530603:405224000] |
Generators of the group modulo torsion |
j |
781637187416896/3594375 |
j-invariant |
L |
6.9191508890751 |
L(r)(E,1)/r! |
Ω |
0.20822630522213 |
Real period |
R |
16.614497584653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102240e4 34080bf4 |
Quadratic twists by: -4 -3 |