Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121800ch |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
10810368 |
Modular degree for the optimal curve |
Δ |
-9.7146502641058E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 0 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24661833,47369328363] |
[a1,a2,a3,a4,a6] |
Generators |
[13713:1512630:1] |
Generators of the group modulo torsion |
j |
-10367637521214755200000/60716564150661027 |
j-invariant |
L |
8.5224651586176 |
L(r)(E,1)/r! |
Ω |
0.12990686744915 |
Real period |
R |
0.32159031269856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999685377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121800h1 |
Quadratic twists by: 5 |