Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
118944w |
Isogeny class |
Conductor |
118944 |
Conductor |
∏ cp |
56 |
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 |
[2393:67032:1] |
Generators of the group modulo torsion |
j |
153878637733003000000/87513157758925017 |
j-invariant |
L |
5.4833721067313 |
L(r)(E,1)/r! |
Ω |
0.11930692557384 |
Real period |
R |
3.2828725992611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118944s1 39648d1 |
Quadratic twists by: -4 -3 |