Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cu |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-38819894132736 = -1 · 225 · 37 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 -5 -3 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29409,-1954431] |
[a1,a2,a3,a4,a6] |
Generators |
[205:768:1] |
Generators of the group modulo torsion |
j |
-20285403817/279936 |
j-invariant |
L |
1.7662428672786 |
L(r)(E,1)/r! |
Ω |
0.18213431305454 |
Real period |
R |
2.4243686454841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999769777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568bo1 25392bd1 101568cl1 |
Quadratic twists by: -4 8 -23 |