Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200da |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-475200000000 = -1 · 212 · 33 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- -2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1500,-40000] |
[a1,a2,a3,a4,a6] |
Generators |
[50:100:1] [61:309:1] |
Generators of the group modulo torsion |
j |
-8640/11 |
j-invariant |
L |
11.204487820714 |
L(r)(E,1)/r! |
Ω |
0.3660700669916 |
Real period |
R |
1.2753123002874 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200cw1 79200m1 79200h1 |
Quadratic twists by: -4 -3 5 |