Atkin-Lehner |
2+ 3+ 41+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17958b |
Isogeny class |
Conductor |
17958 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
282730752 = 28 · 32 · 412 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 -2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-657,6165] |
[a1,a2,a3,a4,a6] |
Generators |
[11:15:1] |
Generators of the group modulo torsion |
j |
31437808611481/282730752 |
j-invariant |
L |
2.3574432182545 |
L(r)(E,1)/r! |
Ω |
1.7433963667671 |
Real period |
R |
0.67610649625996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53874i1 |
Quadratic twists by: -3 |