Atkin-Lehner |
2+ 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121752q |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1361920 |
Modular degree for the optimal curve |
Δ |
22924240617089808 = 24 · 325 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 4 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-436395,110720959] |
[a1,a2,a3,a4,a6] |
Generators |
[843:18491:1] |
Generators of the group modulo torsion |
j |
787980552555424000/1965384140697 |
j-invariant |
L |
9.5525168531789 |
L(r)(E,1)/r! |
Ω |
0.38141156396839 |
Real period |
R |
6.2612920473489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584bd1 |
Quadratic twists by: -3 |