Atkin-Lehner |
2+ 3- 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450bh |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1858560 |
Modular degree for the optimal curve |
Δ |
-346288932000000000 = -1 · 211 · 34 · 59 · 114 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-167076,38619298] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6186:1] |
Generators of the group modulo torsion |
j |
-264077952477893/177299933184 |
j-invariant |
L |
8.2599518366911 |
L(r)(E,1)/r! |
Ω |
0.27993285839075 |
Real period |
R |
0.92209072408746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000108754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450bt1 |
Quadratic twists by: 5 |