Atkin-Lehner |
2- 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bl |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1298964480000 = 216 · 3 · 54 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7536,-243264] |
[a1,a2,a3,a4,a6] |
j |
11556972012529/317130000 |
j-invariant |
L |
2.0530394850032 |
L(r)(E,1)/r! |
Ω |
0.51325988490311 |
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 |
10230bc1 |
Quadratic twists by: -4 |