Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
112700d |
Isogeny class |
Conductor |
112700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1402806675340000000 = -1 · 28 · 57 · 78 · 233 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -6 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3407133,-2420183863] |
[a1,a2,a3,a4,a6] |
Generators |
[4768127:44107146:2197] |
Generators of the group modulo torsion |
j |
-189691027456/60835 |
j-invariant |
L |
10.198234929384 |
L(r)(E,1)/r! |
Ω |
0.055560215494972 |
Real period |
R |
10.197379589332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22540k2 112700u2 |
Quadratic twists by: 5 -7 |