Atkin-Lehner |
2- 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
118944s |
Isogeny class |
Conductor |
118944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5218304 |
Modular degree for the optimal curve |
Δ |
4.0830138884004E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4019025,-407423392] |
[a1,a2,a3,a4,a6] |
Generators |
[-20581066:-1775720277:54872] |
Generators of the group modulo torsion |
j |
153878637733003000000/87513157758925017 |
j-invariant |
L |
6.3750027702765 |
L(r)(E,1)/r! |
Ω |
0.11522226734042 |
Real period |
R |
13.831967779542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118944w1 39648a1 |
Quadratic twists by: -4 -3 |