Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121800bq |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-17052000000 = -1 · 28 · 3 · 56 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,492,-4512] |
[a1,a2,a3,a4,a6] |
j |
3286064/4263 |
j-invariant |
L |
2.633580148471 |
L(r)(E,1)/r! |
Ω |
0.65839481502072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4872c1 |
Quadratic twists by: 5 |