Atkin-Lehner |
2+ 3- 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450u |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
19676250000 = 24 · 33 · 57 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41026,3194948] |
[a1,a2,a3,a4,a6] |
Generators |
[121:17:1] |
Generators of the group modulo torsion |
j |
488726621230609/1259280 |
j-invariant |
L |
5.4322380993076 |
L(r)(E,1)/r! |
Ω |
1.0558728666506 |
Real period |
R |
1.714928087654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999839382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490q1 |
Quadratic twists by: 5 |