Atkin-Lehner |
2- 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
81180p |
Isogeny class |
Conductor |
81180 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
8073809464050000 = 24 · 38 · 55 · 114 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69492,5570201] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:2475:1] |
Generators of the group modulo torsion |
j |
3181856828145664/692199028125 |
j-invariant |
L |
8.0100446730474 |
L(r)(E,1)/r! |
Ω |
0.39171123790902 |
Real period |
R |
0.34081418059945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27060b1 |
Quadratic twists by: -3 |