Atkin-Lehner |
3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
92055c |
Isogeny class |
Conductor |
92055 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9740160 |
Modular degree for the optimal curve |
Δ |
4.1880035840181E+20 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 -3 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-32445356,-71116322059] |
[a1,a2,a3,a4,a6] |
Generators |
[207520066:19186228985:17576] |
Generators of the group modulo torsion |
j |
222409098148040704/24659157645 |
j-invariant |
L |
10.165633249824 |
L(r)(E,1)/r! |
Ω |
0.063257832498123 |
Real period |
R |
13.391797812571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92055s1 |
Quadratic twists by: -19 |