Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600cu |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8870400 |
Modular degree for the optimal curve |
Δ |
-1.5655922913692E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- 4 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93035488,-345892209188] |
[a1,a2,a3,a4,a6] |
Generators |
[13358908692587938762514:92660687003048056413867852:277665477246919] |
Generators of the group modulo torsion |
j |
-1963692857508260740/3452093881137 |
j-invariant |
L |
6.2656965844751 |
L(r)(E,1)/r! |
Ω |
0.024303098169419 |
Real period |
R |
32.226840693295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600cd1 6600d1 |
Quadratic twists by: 5 -11 |