Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880dn |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-29427200000000 = -1 · 215 · 58 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -3 5- 1 11- -1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51052,4447504] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-1375:1] [-222:2200:1] |
Generators of the group modulo torsion |
j |
-449067948252552/898046875 |
j-invariant |
L |
7.1789142766797 |
L(r)(E,1)/r! |
Ω |
0.66332897481203 |
Real period |
R |
0.16910242101907 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66880dh1 33440w1 |
Quadratic twists by: -4 8 |