Atkin-Lehner |
2- 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768dn |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-11622350016 = -1 · 26 · 33 · 173 · 372 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 3 -5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,203,-4999] |
[a1,a2,a3,a4,a6] |
Generators |
[2180:13209:64] [128:1461:1] |
Generators of the group modulo torsion |
j |
14384365568/181599219 |
j-invariant |
L |
11.287305650896 |
L(r)(E,1)/r! |
Ω |
0.6247325105615 |
Real period |
R |
1.0037456448801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999915444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768j1 30192u1 |
Quadratic twists by: -4 8 |