Atkin-Lehner |
2+ 3- 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774l |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
247871876868 = 22 · 311 · 72 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-131787,18447345] |
[a1,a2,a3,a4,a6] |
Generators |
[192:345:1] |
Generators of the group modulo torsion |
j |
347228810789064625/340016292 |
j-invariant |
L |
5.4171589108473 |
L(r)(E,1)/r! |
Ω |
0.8272737955447 |
Real period |
R |
1.6370514033084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27258bc1 |
Quadratic twists by: -3 |