Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ew |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-78382080000000000 = -1 · 219 · 37 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63007500,192502550000] |
[a1,a2,a3,a4,a6] |
Generators |
[572870:3168:125] |
Generators of the group modulo torsion |
j |
-14822892630025/42 |
j-invariant |
L |
7.5239871092535 |
L(r)(E,1)/r! |
Ω |
0.2267682202682 |
Real period |
R |
4.1473994399124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800ll2 3150n2 33600s2 100800gl1 |
Quadratic twists by: -4 8 -3 5 |