Atkin-Lehner |
2+ 3- 5+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
81090k |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-6029690220000 = -1 · 25 · 39 · 54 · 172 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 -6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1080,119200] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:254:1] [5:-340:1] |
Generators of the group modulo torsion |
j |
-191202526081/8271180000 |
j-invariant |
L |
7.5949533924475 |
L(r)(E,1)/r! |
Ω |
0.62800091792614 |
Real period |
R |
0.7558660719677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27030m1 |
Quadratic twists by: -3 |