Atkin-Lehner |
2+ 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958m |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
90597964068 = 22 · 32 · 17 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 4 2 0 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1333,-12455] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-5:1] |
Generators of the group modulo torsion |
j |
1771561/612 |
j-invariant |
L |
5.1870670937921 |
L(r)(E,1)/r! |
Ω |
0.81231275780422 |
Real period |
R |
3.1927770701308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102a1 |
Quadratic twists by: -23 |