Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400ch |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
51126272000000 = 219 · 56 · 792 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14433,-576737] |
[a1,a2,a3,a4,a6] |
Generators |
[353:6200:1] |
Generators of the group modulo torsion |
j |
81182737/12482 |
j-invariant |
L |
3.2911991841961 |
L(r)(E,1)/r! |
Ω |
0.4400718157505 |
Real period |
R |
3.7393887646787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999308999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400k2 31600s2 5056v2 |
Quadratic twists by: -4 8 5 |