Atkin-Lehner |
2- 3+ 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
33180d |
Isogeny class |
Conductor |
33180 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
11150575914240 = 28 · 38 · 5 · 75 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 5 -5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10381,377545] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:567:1] |
Generators of the group modulo torsion |
j |
483329334943744/43556937165 |
j-invariant |
L |
4.0905449463086 |
L(r)(E,1)/r! |
Ω |
0.69979379367212 |
Real period |
R |
2.9226787828769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99540s1 |
Quadratic twists by: -3 |