Atkin-Lehner |
2- 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
72080i |
Isogeny class |
Conductor |
72080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
483720691712000 = 232 · 53 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 2 5- 0 2 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32080,-1931328] |
[a1,a2,a3,a4,a6] |
Generators |
[527052:7033105:1728] |
Generators of the group modulo torsion |
j |
891415909325521/118095872000 |
j-invariant |
L |
10.68947212438 |
L(r)(E,1)/r! |
Ω |
0.35985250354575 |
Real period |
R |
9.9017162303831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9010d1 |
Quadratic twists by: -4 |