Atkin-Lehner |
2- 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608cq |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-3458673478656 = -1 · 210 · 36 · 113 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-349,89629] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:264:1] [-20:297:1] |
Generators of the group modulo torsion |
j |
-4604090368/3377610819 |
j-invariant |
L |
7.5271978983232 |
L(r)(E,1)/r! |
Ω |
0.64023692177299 |
Real period |
R |
1.9594824057468 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999946608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608bb1 31152f1 |
Quadratic twists by: -4 8 |