Atkin-Lehner |
2+ 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121752s |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
123346581246077328 = 24 · 313 · 193 · 893 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 2 -5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-126759,4026827] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:4617:1] |
Generators of the group modulo torsion |
j |
19311349076038912/10574981245377 |
j-invariant |
L |
7.9027824040806 |
L(r)(E,1)/r! |
Ω |
0.28765867703487 |
Real period |
R |
1.1446989976447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584u1 |
Quadratic twists by: -3 |