Atkin-Lehner |
2+ 3+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121752b |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45312 |
Modular degree for the optimal curve |
Δ |
532543248 = 24 · 39 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 2 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,-945] |
[a1,a2,a3,a4,a6] |
j |
5038848/1691 |
j-invariant |
L |
4.967641463955 |
L(r)(E,1)/r! |
Ω |
1.2419102100236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121752x1 |
Quadratic twists by: -3 |