Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93288b |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
2435132400020736 = 28 · 3 · 1310 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 5 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38081,-1582491] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:1022:1] |
Generators of the group modulo torsion |
j |
173056/69 |
j-invariant |
L |
6.5792111306922 |
L(r)(E,1)/r! |
Ω |
0.35372461267445 |
Real period |
R |
4.6499528912534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999833415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93288v1 |
Quadratic twists by: 13 |