Atkin-Lehner |
3+ 5- 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
27435f |
Isogeny class |
Conductor |
27435 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
490900473553125 = 3 · 55 · 316 · 59 |
Discriminant |
Eigenvalues |
-2 3+ 5- 0 -1 -3 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-27350,-1367344] |
[a1,a2,a3,a4,a6] |
Generators |
[250:2712:1] [-790:4801:8] |
Generators of the group modulo torsion |
j |
2262619799464554496/490900473553125 |
j-invariant |
L |
3.9753579245984 |
L(r)(E,1)/r! |
Ω |
0.37696694252018 |
Real period |
R |
0.3515213560481 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82305e1 |
Quadratic twists by: -3 |